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((xln^3(x)sqrt(x^5+9))/(ctgx(2x^4+5)^5))^(1/8)

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  • Expresiones idénticas

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  • xln3xsqrtx5+9/ctgx2x4+551/8
  • ((xln³(x)sqrt(x⁵+9))/(ctgx(2x⁴+5)⁵))^(1/8)
  • ((xln en el grado 3(x)sqrt(x en el grado 5+9))/(ctgx(2x en el grado 4+5) en el grado 5)) en el grado (1/8)
  • xln^3xsqrtx^5+9/ctgx2x^4+5^5^1/8
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  • Expresiones semejantes

  • ((xln^3(x)sqrt(x^5+9))/(ctgx(2x^4-5)^5))^(1/8)
  • ((xln^3(x)sqrt(x^5-9))/(ctgx(2x^4+5)^5))^(1/8)
Derivada de la función/ ((xln^3(x)sqrt(x^5+9))/(ctgx(2x^4+5)^5))^(1/8)

Derivada de ((xln^3(x)sqrt(x^5+9))/(ctgx(2x^4+5)^5))^(1/8)

Función f() - derivada -er orden en el punto
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Gráfico:

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Definida a trozos:

Solución

Ha introducido [src] 
        _______________________
       /              ________ 
      /       3      /  5      
     /   x*log (x)*\/  x  + 9  
    /    --------------------- 
   /                        5  
8 /               /   4    \   
\/         cot(x)*\2*x  + 5/
xlog⁡(x)3x5+9(2x4+5)5cot⁡(x)8\sqrt[8]{\frac{x \log{\left(x \right)}^{3} \sqrt{x^{5} + 9}}{\left(2 x^{4} + 5\right)^{5} \cot{\left(x \right)}}} 
(((x*log(x)^3)*sqrt(x^5 + 9))/((cot(x)*(2*x^4 + 5)^5)))^(1/8)
Solución detallada

  1. Sustituimos u=xlog⁡(x)3x5+9(2x4+5)5cot⁡(x)u = \frac{x \log{\left(x \right)}^{3} \sqrt{x^{5} + 9}}{\left(2 x^{4} + 5\right)^{5} \cot{\left(x \right)}}.

  2. Según el principio, aplicamos: u8\sqrt[8]{u} tenemos 18u78\frac{1}{8 u^{\frac{7}{8}}}

  3. Luego se aplica una cadena de reglas. Multiplicamos por ddxxlog⁡(x)3x5+9(2x4+5)5cot⁡(x)\frac{d}{d x} \frac{x \log{\left(x \right)}^{3} \sqrt{x^{5} + 9}}{\left(2 x^{4} + 5\right)^{5} \cot{\left(x \right)}}:

    1. Se aplica la regla de la derivada parcial:

      ddxf(x)g(x)=−f(x)ddxg(x)+g(x)ddxf(x)g2(x)\frac{d}{d x} \frac{f{\left(x \right)}}{g{\left(x \right)}} = \frac{- f{\left(x \right)} \frac{d}{d x} g{\left(x \right)} + g{\left(x \right)} \frac{d}{d x} f{\left(x \right)}}{g^{2}{\left(x \right)}}

      f(x)=xx5+9log⁡(x)3f{\left(x \right)} = x \sqrt{x^{5} + 9} \log{\left(x \right)}^{3} y g(x)=(2x4+5)5cot⁡(x)g{\left(x \right)} = \left(2 x^{4} + 5\right)^{5} \cot{\left(x \right)}.

      Para calcular ddxf(x)\frac{d}{d x} f{\left(x \right)}:

      1. Se aplica la regla de la derivada de una multiplicación:

        ddxf(x)g(x)h(x)=f(x)g(x)ddxh(x)+f(x)h(x)ddxg(x)+g(x)h(x)ddxf(x)\frac{d}{d x} f{\left(x \right)} g{\left(x \right)} h{\left(x \right)} = f{\left(x \right)} g{\left(x \right)} \frac{d}{d x} h{\left(x \right)} + f{\left(x \right)} h{\left(x \right)} \frac{d}{d x} g{\left(x \right)} + g{\left(x \right)} h{\left(x \right)} \frac{d}{d x} f{\left(x \right)}

        f(x)=xf{\left(x \right)} = x; calculamos ddxf(x)\frac{d}{d x} f{\left(x \right)}:

        1. Según el principio, aplicamos: xx tenemos 11

        g(x)=x5+9g{\left(x \right)} = \sqrt{x^{5} + 9}; calculamos ddxg(x)\frac{d}{d x} g{\left(x \right)}:

        1. Sustituimos u=x5+9u = x^{5} + 9.

        2. Según el principio, aplicamos: u\sqrt{u} tenemos 12u\frac{1}{2 \sqrt{u}}

        3. Luego se aplica una cadena de reglas. Multiplicamos por ddx(x5+9)\frac{d}{d x} \left(x^{5} + 9\right):

          1. diferenciamos x5+9x^{5} + 9 miembro por miembro:

            1. La derivada de una constante 99 es igual a cero.

            2. Según el principio, aplicamos: x5x^{5} tenemos 5x45 x^{4}

            Como resultado de: 5x45 x^{4}

          Como resultado de la secuencia de reglas:

          5x42x5+9\frac{5 x^{4}}{2 \sqrt{x^{5} + 9}}

        h(x)=log⁡(x)3h{\left(x \right)} = \log{\left(x \right)}^{3}; calculamos ddxh(x)\frac{d}{d x} h{\left(x \right)}:

        1. Sustituimos u=log⁡(x)u = \log{\left(x \right)}.

        2. Según el principio, aplicamos: u3u^{3} tenemos 3u23 u^{2}

        3. Luego se aplica una cadena de reglas. Multiplicamos por ddxlog⁡(x)\frac{d}{d x} \log{\left(x \right)}:

          1. Derivado log⁡(x)\log{\left(x \right)} es 1x\frac{1}{x}.

          Como resultado de la secuencia de reglas:

          3log⁡(x)2x\frac{3 \log{\left(x \right)}^{2}}{x}

        Como resultado de: 5x5log⁡(x)32x5+9+x5+9log⁡(x)3+3x5+9log⁡(x)2\frac{5 x^{5} \log{\left(x \right)}^{3}}{2 \sqrt{x^{5} + 9}} + \sqrt{x^{5} + 9} \log{\left(x \right)}^{3} + 3 \sqrt{x^{5} + 9} \log{\left(x \right)}^{2}

      Para calcular ddxg(x)\frac{d}{d x} g{\left(x \right)}:

      1. Se aplica la regla de la derivada de una multiplicación:

        ddxf(x)g(x)=f(x)ddxg(x)+g(x)ddxf(x)\frac{d}{d x} f{\left(x \right)} g{\left(x \right)} = f{\left(x \right)} \frac{d}{d x} g{\left(x \right)} + g{\left(x \right)} \frac{d}{d x} f{\left(x \right)}

        f(x)=(2x4+5)5f{\left(x \right)} = \left(2 x^{4} + 5\right)^{5}; calculamos ddxf(x)\frac{d}{d x} f{\left(x \right)}:

        1. Sustituimos u=2x4+5u = 2 x^{4} + 5.

        2. Según el principio, aplicamos: u5u^{5} tenemos 5u45 u^{4}

        3. Luego se aplica una cadena de reglas. Multiplicamos por ddx(2x4+5)\frac{d}{d x} \left(2 x^{4} + 5\right):

          1. diferenciamos 2x4+52 x^{4} + 5 miembro por miembro:

            1. La derivada de una constante 55 es igual a cero.

            2. La derivada del producto de una constante por función es igual al producto de esta constante por la derivada de esta función.

              1. Según el principio, aplicamos: x4x^{4} tenemos 4x34 x^{3}

              Entonces, como resultado: 8x38 x^{3}

            Como resultado de: 8x38 x^{3}

          Como resultado de la secuencia de reglas:

          40x3(2x4+5)440 x^{3} \left(2 x^{4} + 5\right)^{4}

        g(x)=cot⁡(x)g{\left(x \right)} = \cot{\left(x \right)}; calculamos ddxg(x)\frac{d}{d x} g{\left(x \right)}:

        1. Hay varias formas de calcular esta derivada.

          Method #1

          1. Reescribimos las funciones para diferenciar:

            cot⁡(x)=1tan⁡(x)\cot{\left(x \right)} = \frac{1}{\tan{\left(x \right)}}

          2. Sustituimos u=tan⁡(x)u = \tan{\left(x \right)}.

          3. Según el principio, aplicamos: 1u\frac{1}{u} tenemos −1u2- \frac{1}{u^{2}}

          4. Luego se aplica una cadena de reglas. Multiplicamos por ddxtan⁡(x)\frac{d}{d x} \tan{\left(x \right)}:

            1. Reescribimos las funciones para diferenciar:

              tan⁡(x)=sin⁡(x)cos⁡(x)\tan{\left(x \right)} = \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}

            2. Se aplica la regla de la derivada parcial:

              ddxf(x)g(x)=−f(x)ddxg(x)+g(x)ddxf(x)g2(x)\frac{d}{d x} \frac{f{\left(x \right)}}{g{\left(x \right)}} = \frac{- f{\left(x \right)} \frac{d}{d x} g{\left(x \right)} + g{\left(x \right)} \frac{d}{d x} f{\left(x \right)}}{g^{2}{\left(x \right)}}

              f(x)=sin⁡(x)f{\left(x \right)} = \sin{\left(x \right)} y g(x)=cos⁡(x)g{\left(x \right)} = \cos{\left(x \right)}.

              Para calcular ddxf(x)\frac{d}{d x} f{\left(x \right)}:

              1. La derivada del seno es igual al coseno:

                ddxsin⁡(x)=cos⁡(x)\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}

              Para calcular ddxg(x)\frac{d}{d x} g{\left(x \right)}:

              1. La derivada del coseno es igual a menos el seno:

                ddxcos⁡(x)=−sin⁡(x)\frac{d}{d x} \cos{\left(x \right)} = - \sin{\left(x \right)}

              Ahora aplicamos la regla de la derivada de una divesión:

              sin⁡2(x)+cos⁡2(x)cos⁡2(x)\frac{\sin^{2}{\left(x \right)} + \cos^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}}

            Como resultado de la secuencia de reglas:

            −sin⁡2(x)+cos⁡2(x)cos⁡2(x)tan⁡2(x)- \frac{\sin^{2}{\left(x \right)} + \cos^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)} \tan^{2}{\left(x \right)}}

          Method #2

          1. Reescribimos las funciones para diferenciar:

            cot⁡(x)=cos⁡(x)sin⁡(x)\cot{\left(x \right)} = \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}}

          2. Se aplica la regla de la derivada parcial:

            ddxf(x)g(x)=−f(x)ddxg(x)+g(x)ddxf(x)g2(x)\frac{d}{d x} \frac{f{\left(x \right)}}{g{\left(x \right)}} = \frac{- f{\left(x \right)} \frac{d}{d x} g{\left(x \right)} + g{\left(x \right)} \frac{d}{d x} f{\left(x \right)}}{g^{2}{\left(x \right)}}

            f(x)=cos⁡(x)f{\left(x \right)} = \cos{\left(x \right)} y g(x)=sin⁡(x)g{\left(x \right)} = \sin{\left(x \right)}.

            Para calcular ddxf(x)\frac{d}{d x} f{\left(x \right)}:

            1. La derivada del coseno es igual a menos el seno:

              ddxcos⁡(x)=−sin⁡(x)\frac{d}{d x} \cos{\left(x \right)} = - \sin{\left(x \right)}

            Para calcular ddxg(x)\frac{d}{d x} g{\left(x \right)}:

            1. La derivada del seno es igual al coseno:

              ddxsin⁡(x)=cos⁡(x)\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}

            Ahora aplicamos la regla de la derivada de una divesión:

            −sin⁡2(x)−cos⁡2(x)sin⁡2(x)\frac{- \sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}

        Como resultado de: 40x3(2x4+5)4cot⁡(x)−(2x4+5)5(sin⁡2(x)+cos⁡2(x))cos⁡2(x)tan⁡2(x)40 x^{3} \left(2 x^{4} + 5\right)^{4} \cot{\left(x \right)} - \frac{\left(2 x^{4} + 5\right)^{5} \left(\sin^{2}{\left(x \right)} + \cos^{2}{\left(x \right)}\right)}{\cos^{2}{\left(x \right)} \tan^{2}{\left(x \right)}}

      Ahora aplicamos la regla de la derivada de una divesión:

      −xx5+9(40x3(2x4+5)4cot⁡(x)−(2x4+5)5(sin⁡2(x)+cos⁡2(x))cos⁡2(x)tan⁡2(x))log⁡(x)3+(2x4+5)5(5x5log⁡(x)32x5+9+x5+9log⁡(x)3+3x5+9log⁡(x)2)cot⁡(x)(2x4+5)10cot⁡2(x)\frac{- x \sqrt{x^{5} + 9} \left(40 x^{3} \left(2 x^{4} + 5\right)^{4} \cot{\left(x \right)} - \frac{\left(2 x^{4} + 5\right)^{5} \left(\sin^{2}{\left(x \right)} + \cos^{2}{\left(x \right)}\right)}{\cos^{2}{\left(x \right)} \tan^{2}{\left(x \right)}}\right) \log{\left(x \right)}^{3} + \left(2 x^{4} + 5\right)^{5} \left(\frac{5 x^{5} \log{\left(x \right)}^{3}}{2 \sqrt{x^{5} + 9}} + \sqrt{x^{5} + 9} \log{\left(x \right)}^{3} + 3 \sqrt{x^{5} + 9} \log{\left(x \right)}^{2}\right) \cot{\left(x \right)}}{\left(2 x^{4} + 5\right)^{10} \cot^{2}{\left(x \right)}}

    Como resultado de la secuencia de reglas:

    (2x4+5)358(xx5+9log⁡(x)3cot⁡(x))78(−xx5+9(40x3(2x4+5)4cot⁡(x)−(2x4+5)5(sin⁡2(x)+cos⁡2(x))cos⁡2(x)tan⁡2(x))log⁡(x)3+(2x4+5)5(5x5log⁡(x)32x5+9+x5+9log⁡(x)3+3x5+9log⁡(x)2)cot⁡(x))8(2x4+5)10cot⁡2(x)\frac{\frac{\left(2 x^{4} + 5\right)^{\frac{35}{8}}}{\left(\frac{x \sqrt{x^{5} + 9} \log{\left(x \right)}^{3}}{\cot{\left(x \right)}}\right)^{\frac{7}{8}}} \left(- x \sqrt{x^{5} + 9} \left(40 x^{3} \left(2 x^{4} + 5\right)^{4} \cot{\left(x \right)} - \frac{\left(2 x^{4} + 5\right)^{5} \left(\sin^{2}{\left(x \right)} + \cos^{2}{\left(x \right)}\right)}{\cos^{2}{\left(x \right)} \tan^{2}{\left(x \right)}}\right) \log{\left(x \right)}^{3} + \left(2 x^{4} + 5\right)^{5} \left(\frac{5 x^{5} \log{\left(x \right)}^{3}}{2 \sqrt{x^{5} + 9}} + \sqrt{x^{5} + 9} \log{\left(x \right)}^{3} + 3 \sqrt{x^{5} + 9} \log{\left(x \right)}^{2}\right) \cot{\left(x \right)}\right)}{8 \left(2 x^{4} + 5\right)^{10} \cot^{2}{\left(x \right)}}

  4. Simplificamos:

    (−x(x5+9)(−2x4+20x3sin⁡(2x)−5)log⁡(x)8+(2x4+5)(5x5log⁡(x)+2(x5+9)(log⁡(x)+3))sin⁡(2x)32)log⁡(x)2(xx5+9log⁡(x)3tan⁡(x))78(2x4+5)138x5+9cos⁡2(x)\frac{\left(- \frac{x \left(x^{5} + 9\right) \left(- 2 x^{4} + 20 x^{3} \sin{\left(2 x \right)} - 5\right) \log{\left(x \right)}}{8} + \frac{\left(2 x^{4} + 5\right) \left(5 x^{5} \log{\left(x \right)} + 2 \left(x^{5} + 9\right) \left(\log{\left(x \right)} + 3\right)\right) \sin{\left(2 x \right)}}{32}\right) \log{\left(x \right)}^{2}}{\left(x \sqrt{x^{5} + 9} \log{\left(x \right)}^{3} \tan{\left(x \right)}\right)^{\frac{7}{8}} \left(2 x^{4} + 5\right)^{\frac{13}{8}} \sqrt{x^{5} + 9} \cos^{2}{\left(x \right)}}

Respuesta:

(−x(x5+9)(−2x4+20x3sin⁡(2x)−5)log⁡(x)8+(2x4+5)(5x5log⁡(x)+2(x5+9)(log⁡(x)+3))sin⁡(2x)32)log⁡(x)2(xx5+9log⁡(x)3tan⁡(x))78(2x4+5)138x5+9cos⁡2(x)\frac{\left(- \frac{x \left(x^{5} + 9\right) \left(- 2 x^{4} + 20 x^{3} \sin{\left(2 x \right)} - 5\right) \log{\left(x \right)}}{8} + \frac{\left(2 x^{4} + 5\right) \left(5 x^{5} \log{\left(x \right)} + 2 \left(x^{5} + 9\right) \left(\log{\left(x \right)} + 3\right)\right) \sin{\left(2 x \right)}}{32}\right) \log{\left(x \right)}^{2}}{\left(x \sqrt{x^{5} + 9} \log{\left(x \right)}^{3} \tan{\left(x \right)}\right)^{\frac{7}{8}} \left(2 x^{4} + 5\right)^{\frac{13}{8}} \sqrt{x^{5} + 9} \cos^{2}{\left(x \right)}}

Gráfica
02468-8-6-4-2-10100.5-0.5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                                                              /                   /   ________                             5    3   \                                                                                  \       
                                                              |        1          |  /  5      /   3           2   \    5*x *log (x)|                                                                                  |       
                                                              |------------------*|\/  x  + 9 *\log (x) + 3*log (x)/ + -------------|                                                                                  |       
       __________________________________________             |          5        |                                         ________|        ________         /            5                                  4       \|       
      /      ________                                       5 |/   4    \         |                                        /  5     |       /  5         3    |  /   4    \  /        2   \       3 /   4    \        ||       
     /      /  5         3            1           /   4    \  |\2*x  + 5/ *cot(x) \                                    2*\/  x  + 9 /   x*\/  x  + 9 *log (x)*\- \2*x  + 5/ *\-1 - cot (x)/ - 40*x *\2*x  + 5/ *cot(x)/|       
    /   x*\/  x  + 9 *log (x)*------------------ *\2*x  + 5/ *|---------------------------------------------------------------------- + -------------------------------------------------------------------------------|*cot(x)
   /                                    5                     |                                  8                                                                               10                                    |       
8 /                           /   4    \                      |                                                                                                        /   4    \      2                               |       
\/                            \2*x  + 5/ *cot(x)              \                                                                                                      8*\2*x  + 5/  *cot (x)                            /       
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                          ________                                                                                                             
                                                                                                         /  5         3                                                                                                        
                                                                                                     x*\/  x  + 9 *log (x)
x1(2x4+5)5cot⁡(x)x5+9log⁡(x)38(2x4+5)5(xx5+9(−40x3(2x4+5)4cot⁡(x)−(2x4+5)5(−cot⁡2(x)−1))log⁡(x)38(2x4+5)10cot⁡2(x)+1(2x4+5)5cot⁡(x)(5x5log⁡(x)32x5+9+x5+9(log⁡(x)3+3log⁡(x)2))8)cot⁡(x)xx5+9log⁡(x)3\frac{\sqrt[8]{x \frac{1}{\left(2 x^{4} + 5\right)^{5} \cot{\left(x \right)}} \sqrt{x^{5} + 9} \log{\left(x \right)}^{3}} \left(2 x^{4} + 5\right)^{5} \left(\frac{x \sqrt{x^{5} + 9} \left(- 40 x^{3} \left(2 x^{4} + 5\right)^{4} \cot{\left(x \right)} - \left(2 x^{4} + 5\right)^{5} \left(- \cot^{2}{\left(x \right)} - 1\right)\right) \log{\left(x \right)}^{3}}{8 \left(2 x^{4} + 5\right)^{10} \cot^{2}{\left(x \right)}} + \frac{\frac{1}{\left(2 x^{4} + 5\right)^{5} \cot{\left(x \right)}} \left(\frac{5 x^{5} \log{\left(x \right)}^{3}}{2 \sqrt{x^{5} + 9}} + \sqrt{x^{5} + 9} \left(\log{\left(x \right)}^{3} + 3 \log{\left(x \right)}^{2}\right)\right)}{8}\right) \cot{\left(x \right)}}{x \sqrt{x^{5} + 9} \log{\left(x \right)}^{3}}
Simplificar
Segunda derivada [src] 
                              /   /                                                    ________                                                   \         /                                                    ________                                                   \          /                                                    ________                                                   \     /                                       ________                                                                                                                                                  ________                                                             ________                                                                ________                                                              ________         /                          2                                                                                \                                                                      ________                                                                  \      /                                                    ________                                                   \   /                                                    ________                                                   \                                                                                                                             /                                                    ________                                                   \\
                              |   |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |         |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |          |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |     |      4    2          4               /      5                   /         2           3  \ /     ________                   5       \              9    2          4                           /      5     2    /  /       2   \ /       4\       3       \        /      5  /  /       2   \ /       4\       3       \               4   /      5     2    /  /       2   \ /       4\       3       \         /      5     2    |     6          /       4\  /       2   \              3 /       2   \ /       4\       2 /       4\       |       5    2    /  /       2   \ /       4\       3       \         /      5     2    /       2   \ /  /       2   \ /       4\       3       \|      |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |   |       ________                   5                /      5  /  /       2   \ /       4\       3       \       | /     ________        ________             5                 ________ /         2           3  \       \                    |       ________                   5                /      5  /  /       2   \ /       4\       3       \       ||
                              |   |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|       3 |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|        2 |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|     |  50*x *log (x)   30*x *log(x)   12*\/  9 + x  *(2 + log(x))     |  1 + cot (x)    40*x   | |    /      5                 5*x *log(x)|          25*x *log (x)   10*x *(3 + log(x))*log(x)   4*\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   12*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)   320*x *\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\640*x *cot(x) + \5 + 2*x / *\1 + cot (x)/*cot(x) - 40*x *\1 + cot (x)/*\5 + 2*x / + 60*x *\5 + 2*x /*cot(x)/   10*x *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\1 + cot (x)/*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/|      |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|   |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)| |    /      5        /      5           5*x *log(x)         /      5  |  1 + cot (x)    40*x   |       |      /       2   \ |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)||
      _______________________ |16*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   40*x *|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   640*x *|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   8*|- ------------- - ------------ - --------------------------- + 2*|- ----------- + --------|*|2*\/  9 + x  *(3 + log(x)) + -----------|*log(x) + ------------- - ------------------------- + ----------------------------------------------------------------- + ----------------------------------------------------------------- - ---------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------- + ---------------------------------------------------------------------------------|   48*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   |- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- - 2*x*\/  9 + x  *|- ----------- + --------|*log(x)|   16*\1 + cot (x)/*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------||
     /      ________          |   |                                  ________                           /       4\                                |         |                                  ________                           /       4\                                |          |                                  ________                           /       4\                                |     |      ________       ________                 x                  |     cot(x)            4| |                                ________|                   3/2              ________                                  /       4\                                                          /       4\                                                                      2                                                                                                        2                                                                                               ________                                                        /       4\    2                                  |      |                                  ________                           /       4\                                |   |                                  ________                           /       4\                                | |                                          ________                   |     cot(x)            4|       |                    |                                  ________                           /       4\                                ||
    /      /      5     3     |   |                                 /      5                            \5 + 2*x /*cot(x)                         |         |                                 /      5                            \5 + 2*x /*cot(x)                         |          |                                 /      5                            \5 + 2*x /*cot(x)                         |     |     /      5       /      5                                     \                5 + 2*x / |                               /      5 |           /     5\                /      5                                   \5 + 2*x /*cot(x)                                                   \5 + 2*x /*cot(x)                                                     /       4\                                                                                               /       4\                                                                                  /       4\   /      5                                                         \5 + 2*x /*cot (x)                               |      |                                 /      5                            \5 + 2*x /*cot(x)                         |   |                                 /      5                            \5 + 2*x /*cot(x)                         | |                                         /      5                    \                5 + 2*x /       |                    |                                 /      5                            \5 + 2*x /*cot(x)                         ||
   /   x*\/  9 + x  *log (x)  |   \                               \/  9 + x                                                                       /         \                               \/  9 + x                                                                       /          \                               \/  9 + x                                                                       /     \   \/  9 + x      \/  9 + x                                                                 \                             \/  9 + x  /           \9 + x /              \/  9 + x                                                                                                                                                                              \5 + 2*x / *cot(x)                                                                                       \5 + 2*x / *cot(x)                                                                          \5 + 2*x /*\/  9 + x  *cot(x)                                                                                                  /      \                               \/  9 + x                                                                       /   \                               \/  9 + x                                                                       / \                                       \/  9 + x                                                      /                    \                               \/  9 + x                                                                       /|
8 /    --------------------- *|-------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + -------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------|
\/             cot(x)         |                                                         ________                                                                                                                    3/2                                                                                                                        ________                                                                                                                                                                                                                                                                                                                                                                                                  ________                                                                                                                                                                                                                                                                                                                                                                                                        ________                                                                                                                                                               2 /     5\                                                                                                                                                                          ________                                                              |
                              |                                                    2   /      5                                                                                                             /     5\                                                                                                             /       4\   /      5                                                                                                                                                                                                                                                                                                                                                                                                  /      5                                                                                                                                                                                                                                                                                                                                                                                                    2   /      5                                                                                                                                                               x *\9 + x /*log(x)                                                                                                                                                                  /      5                                                               |
                              \                                                   x *\/  9 + x                                                                                                              \9 + x /                                                                                                             \5 + 2*x /*\/  9 + x                                                                                                                                                                                                                                                                                                                                                                                               x*\/  9 + x  *log(x)                                                                                                                                                                                                                                                                                                                                                                                           x *\/  9 + x  *log(x)                                                                                                                                                                                                                                                                                                                                       x*\/  9 + x  *cot(x)                                                       /
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          256*\5 + 2*x /   *log(x)
xx5+9log⁡(x)3cot⁡(x)8(40x3(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(x5+9)32−640x2(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(2x4+5)x5+9+16(cot⁡2(x)+1)(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))xx5+9cot⁡(x)−8(25x9log⁡(x)2(x5+9)32+10x5(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)x5+9cot⁡(x)−10x4(log⁡(x)+3)log⁡(x)x5+9−50x4log⁡(x)2x5+9−30x4log⁡(x)x5+9−320x4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)2cot⁡(x)+8xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)log⁡(x)2(2x4+5)cot⁡2(x)+8xx5+9(640x6cot⁡(x)−40x3(2x4+5)(cot⁡2(x)+1)+60x2(2x4+5)cot⁡(x)+(2x4+5)2(cot⁡2(x)+1)cot⁡(x))log⁡(x)2(2x4+5)2cot⁡(x)+2(40x32x4+5−cot⁡2(x)+1cot⁡(x))(5x5log⁡(x)x5+9+2x5+9(log⁡(x)+3))log⁡(x)+4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)cot⁡(x)+12x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−12x5+9(log⁡(x)+2)x)xx5+9log⁡(x)−(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(5x5log⁡(x)x5+9−2xx5+9(40x32x4+5−cot⁡2(x)+1cot⁡(x))log⁡(x)+2x5+9log⁡(x)+6x5+9)x2(x5+9)log⁡(x)+16(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))x2x5+9+48(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))x2x5+9log⁡(x))256(2x4+5)58log⁡(x)\frac{\sqrt[8]{\frac{x \sqrt{x^{5} + 9} \log{\left(x \right)}^{3}}{\cot{\left(x \right)}}} \left(\frac{40 x^{3} \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{\left(x^{5} + 9\right)^{\frac{3}{2}}} - \frac{640 x^{2} \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9}} + \frac{16 \left(\cot^{2}{\left(x \right)} + 1\right) \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{x \sqrt{x^{5} + 9} \cot{\left(x \right)}} - \frac{8 \left(\frac{25 x^{9} \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{10 x^{5} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \cot{\left(x \right)}} - \frac{10 x^{4} \left(\log{\left(x \right)} + 3\right) \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{50 x^{4} \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} - \frac{30 x^{4} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{320 x^{4} \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot^{2}{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(640 x^{6} \cot{\left(x \right)} - 40 x^{3} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 60 x^{2} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + 2 \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \log{\left(x \right)} + \frac{4 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} + \frac{12 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - \frac{12 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 2\right)}{x}\right)}{x \sqrt{x^{5} + 9} \log{\left(x \right)}} - \frac{\left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - 2 x \sqrt{x^{5} + 9} \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \log{\left(x \right)} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right)}{x^{2} \left(x^{5} + 9\right) \log{\left(x \right)}} + \frac{16 \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{x^{2} \sqrt{x^{5} + 9}} + \frac{48 \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{x^{2} \sqrt{x^{5} + 9} \log{\left(x \right)}}\right)}{256 \left(2 x^{4} + 5\right)^{\frac{5}{8}} \log{\left(x \right)}}
Simplificar
Tercera derivada [src] 
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 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                                                                                                                                                         |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        |      9    2           /      5                     4              4    2          4                    |                                             |      9    2           /      5                     4              4    2          4                    |                                                                                                      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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        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                                                                                                                                                         |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          /       2   \ |  25*x *log (x)   12*\/  9 + x  *(2 + log(x))   30*x *log(x)   50*x *log (x)   10*x *(3 + log(x))*log(x)|                                           3 |  25*x *log (x)   12*\/  9 + x  *(2 + log(x))   30*x *log(x)   50*x *log (x)   10*x *(3 + log(x))*log(x)|                                                                                                      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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         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                                                                                                                                                         |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        2*\1 + cot (x)/*|- ------------- + --------------------------- + ------------ + ------------- + -------------------------|*log(x)                                80*x *|- ------------- + --------------------------- + ------------ + ------------- + -------------------------|*log(x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |                                                                                                                                                                                                                                                                                                                                                                                        5    2    |  1 + cot (x)    40*x   |                                                                                                                |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     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            \                     /                                                    ________                                                   \      |                                                                                                   /                        ________                                                                        \                                                               /                           2                                               \         ________                                                                                                                              |           3/2                 x                   ________        ________              ________       |                                             |           3/2                 x                   ________        ________              ________       |                ________         /                          2                                                                                \         ________         /                          2                                                                                \              ________                                                                  ________                                                                                                                                ________         /                          2                                                                                \                                                                       ________         /               2           3                                                                         2                             3                                         2                                                       2                     \         ________                                                             ________                                                                           ________                                                                    /                          2                                                                                \         ________                                                                                                                                                                                                           ________                                                                  ________                                                                             ________                                                                                       2    ________                                                               ________                       /                          2                                                                                \                                                                          |       /                                       ________                                                                                                                                                  ________                                                             ________                                                                ________                                                              ________         /                          2                                                                                \                                                                      ________                                                                  \          /                                       ________                                                                                                                                                  ________                                                             ________                                                                ________                                                              ________         /                          2                                                                                \                                                                      ________                                                                  \       /                                       ________                                                                                                                                                  ________                                                             ________                                                                ________                                                              ________         /                          2                                                                                \                                                                      ________                                                                  \            /                                                    ________                                                   \           /                                       ________                                                                                                                                                  ________                                                             ________                                                                ________                                                              ________         /                          2                                                                                \                                                                      ________                                                                  \                         /                                                    ________                                                   \                     /                                                    ________                                                   \                                                                                                              /                                       ________                                                                                                                                                  ________                                                             ________                                                                ________                                                              ________         /                          2                                                                                \                                                                      ________                                                                  \     /                                                            ________                     \ /                                       ________                                                                                                                                                  ________                                                             ________                                                                ________                                                              ________         /                          2                                                                                \                                                                      ________                                                                  \     /                                                    ________                                                   \ |        ________                                        ________                                                                                                                                      ________                             ________                                                 /                           2                                               \   10*x *log (x)*|- ----------- + --------|             ________                                              ________                                     |      /                                                    ________                                                   \ /                                                            ________                     \      /                                                    ________                                                   \                                                                                                                  /                                                    ________                                                   \ /                                                            ________                     \      /                                                    ________                                                   \ /                                                            ________                     \         /                                                    ________                                                   \                                                                                                               /                                                    ________                                                   \                                                                                                                    /                                                    ________                                                   \   /                                                    ________                                                   \                                                                                                          /                                                            ________                     \                      /                                                    ________                                                   \          /                                                    ________                                                   \                                                                                                                  /                                                    ________                                                   \ /                                                            ________                     \                     /                                       ________                                                                                                                                                  ________                                                             ________                                                                ________                                                              ________         /                          2                                                                                \                                                                      ________                                                                  \                          /                                                    ________                                                   \                    /                                                    ________                                                   \ /                                                            ________                     \                    /                                                    ________                                                   \                                                                                                         |
                              |          |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |       |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |           |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |             |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |           |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |           |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |        |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |        |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |                     |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |      |       3    2           3    3           13    3           3            /         2           3  \ |      9    2           /      5                     4              4    2          4                    |                    /     ________                   5       \ |              /       2   \            6          2         3 /       2   \|        /      5  /        2   \        8    2           8    3           3                           3    2                                   |   /     5\                                       /      5        /      5              /      5        |              8    2                         |   /     5\                                       /      5        /      5              /      5        |               /      5     3    |     6          /       4\  /       2   \              3 /       2   \ /       4\       2 /       4\       |        /      5     2    |     6          /       4\  /       2   \              3 /       2   \ /       4\       2 /       4\       |         3   /      5     2    /  /       2   \ /       4\       3       \         3   /      5     3    /  /       2   \ /       4\       3       \         8    3    /  /       2   \ /       4\       3       \         4   /      5     3    |     6          /       4\  /       2   \              3 /       2   \ /       4\       2 /       4\       |       9    3    /  /       2   \ /       4\       3       \          /      5     3    |  /       2   \  /       4\           9                6 /       2   \ /       4\        2 /       4\  /       2   \     /       4\     2    /       2   \         /       4\                 5 /       4\               3 /       4\  /       2   \       |        /      5     2    /  /       2   \ /       4\       3       \        /      5     3    /       2   \ /  /       2   \ /       4\       3       \        /      5  /  /       2   \ /       4\       3       \              5    3    |     6          /       4\  /       2   \              3 /       2   \ /       4\       2 /       4\       |        /      5     2    /       2   \ /  /       2   \ /       4\       3       \        4    2    /  /       2   \ /       4\       3       \        4    3    /  /       2   \ /       4\       3       \          7   /      5     3    /  /       2   \ /       4\       3       \         4   /      5     3    /       2   \ /  /       2   \ /       4\       3       \          /      5     3    /       2   \ /  /       2   \ /       4\       3       \        /       2   \    /      5     3    /  /       2   \ /       4\       3       \          /      5     3    /       2   \ |     6          /       4\  /       2   \              3 /       2   \ /       4\       2 /       4\       |       5    3    /       2   \ /  /       2   \ /       4\       3       \|       |      4    2          4               /      5                   /         2           3  \ /     ________                   5       \              9    2          4                           /      5     2    /  /       2   \ /       4\       3       \        /      5  /  /       2   \ /       4\       3       \               4   /      5     2    /  /       2   \ /       4\       3       \         /      5     2    |     6          /       4\  /       2   \              3 /       2   \ /       4\       2 /       4\       |       5    2    /  /       2   \ /       4\       3       \         /      5     2    /       2   \ /  /       2   \ /       4\       3       \|          |      4    2          4               /      5                   /         2           3  \ /     ________                   5       \              9    2          4                           /      5     2    /  /       2   \ /       4\       3       \        /      5  /  /       2   \ /       4\       3       \               4   /      5     2    /  /       2   \ /       4\       3       \         /      5     2    |     6          /       4\  /       2   \              3 /       2   \ /       4\       2 /       4\       |       5    2    /  /       2   \ /       4\       3       \         /      5     2    /       2   \ /  /       2   \ /       4\       3       \|       |      4    2          4               /      5                   /         2           3  \ /     ________                   5       \              9    2          4                           /      5     2    /  /       2   \ /       4\       3       \        /      5  /  /       2   \ /       4\       3       \               4   /      5     2    /  /       2   \ /       4\       3       \         /      5     2    |     6          /       4\  /       2   \              3 /       2   \ /       4\       2 /       4\       |       5    2    /  /       2   \ /       4\       3       \         /      5     2    /       2   \ /  /       2   \ /       4\       3       \|            |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |           |      4    2          4               /      5                   /         2           3  \ /     ________                   5       \              9    2          4                           /      5     2    /  /       2   \ /       4\       3       \        /      5  /  /       2   \ /       4\       3       \               4   /      5     2    /  /       2   \ /       4\       3       \         /      5     2    |     6          /       4\  /       2   \              3 /       2   \ /       4\       2 /       4\       |       5    2    /  /       2   \ /       4\       3       \         /      5     2    /       2   \ /  /       2   \ /       4\       3       \|                         |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |                     |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |     /     ________        ________             5                 ________ /         2           3  \       \ |      4    2          4               /      5                   /         2           3  \ /     ________                   5       \              9    2          4                           /      5     2    /  /       2   \ /       4\       3       \        /      5  /  /       2   \ /       4\       3       \               4   /      5     2    /  /       2   \ /       4\       3       \         /      5     2    |     6          /       4\  /       2   \              3 /       2   \ /       4\       2 /       4\       |       5    2    /  /       2   \ /       4\       3       \         /      5     2    /       2   \ /  /       2   \ /       4\       3       \|     |     ________        ________             5                /      5  /       2   \       | |      4    2          4               /      5                   /         2           3  \ /     ________                   5       \              9    2          4                           /      5     2    /  /       2   \ /       4\       3       \        /      5  /  /       2   \ /       4\       3       \               4   /      5     2    /  /       2   \ /       4\       3       \         /      5     2    |     6          /       4\  /       2   \              3 /       2   \ /       4\       2 /       4\       |       5    2    /  /       2   \ /       4\       3       \         /      5     2    /       2   \ /  /       2   \ /       4\       3       \|     |       ________                   5                /      5  /  /       2   \ /       4\       3       \       | |       /      5        4    2          4               /      5                ________         /         2           3  \         ________ /         2           3  \              9    2           /      5  /       2   \              /      5     2    /       2   \          ________         |              /       2   \            6          2         3 /       2   \|                 |     cot(x)            4|        3   /      5     2               8    2               3   /      5               5    2    /       2   \|      |       ________                   5                /      5  /  /       2   \ /       4\       3       \       | |     ________        ________             5                /      5  /       2   \       |      |       ________                   5                /      5  /  /       2   \ /       4\       3       \       | /     ________        ________             5                 ________ /         2           3  \       \         |       ________                   5                /      5  /  /       2   \ /       4\       3       \       | |     ________        ________             5                /      5  /       2   \       |      |       ________                   5                /      5  /  /       2   \ /       4\       3       \       | |     ________        ________             5                /      5  /       2   \       |         |       ________                   5                /      5  /  /       2   \ /       4\       3       \       | /     ________        ________             5                 ________ /         2           3  \       \      |       ________                   5                /      5  /  /       2   \ /       4\       3       \       | /     ________        ________             5                 ________ /         2           3  \       \           |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |   |       ________                   5                /      5  /  /       2   \ /       4\       3       \       | /     ________        ________             5                 ________ /         2           3  \       \ |     ________        ________             5                /      5  /       2   \       |                      |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |          |       ________                   5                /      5  /  /       2   \ /       4\       3       \       | /     ________        ________             5                 ________ /         2           3  \       \         |       ________                   5                /      5  /  /       2   \ /       4\       3       \       | |     ________        ________             5                /      5  /       2   \       |                     |      4    2          4               /      5                   /         2           3  \ /     ________                   5       \              9    2          4                           /      5     2    /  /       2   \ /       4\       3       \        /      5  /  /       2   \ /       4\       3       \               4   /      5     2    /  /       2   \ /       4\       3       \         /      5     2    |     6          /       4\  /       2   \              3 /       2   \ /       4\       2 /       4\       |       5    2    /  /       2   \ /       4\       3       \         /      5     2    /       2   \ /  /       2   \ /       4\       3       \|                          |       ________                   5                /      5  /  /       2   \ /       4\       3       \       |                    |       ________                   5                /      5  /  /       2   \ /       4\       3       \       | |     ________        ________             5                /      5  /       2   \       |                    |       ________                   5                /      5  /  /       2   \ /       4\       3       \       | /     ________        ________             5                 ________ /         2           3  \       \|
                              |        7 |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|       |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|         2 |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|           5 |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|           |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|         2 |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|        |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|        |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|       /       2   \ |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|      |  540*x *log (x)   400*x *log (x)   375*x  *log (x)   120*x *log(x)     |  1 + cot (x)    40*x   | |  25*x *log (x)   12*\/  9 + x  *(2 + log(x))   30*x *log(x)   50*x *log (x)   10*x *(3 + log(x))*log(x)|               2    |    /      5                 5*x *log(x)| |       2      \1 + cot (x)/       960*x       60*x      40*x *\1 + cot (x)/|   24*\/  9 + x  *\-2 + log (x)/   300*x *log (x)   700*x *log (x)   120*x *(2 + log(x))*log(x)   80*x *log (x)*(3 + log(x))                   \   \9 + x /                                     \/  9 + x       \/  9 + x             \/  9 + x         /          50*x *log (x)*(3 + log(x))         \   \9 + x /                                     \/  9 + x       \/  9 + x             \/  9 + x         /          32*\/  9 + x  *log (x)*\640*x *cot(x) + \5 + 2*x / *\1 + cot (x)/*cot(x) - 40*x *\1 + cot (x)/*\5 + 2*x / + 60*x *\5 + 2*x /*cot(x)/   96*\/  9 + x  *log (x)*\640*x *cot(x) + \5 + 2*x / *\1 + cot (x)/*cot(x) - 40*x *\1 + cot (x)/*\5 + 2*x / + 60*x *\5 + 2*x /*cot(x)/   3840*x *\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   3200*x *\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   3200*x *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   2560*x *\/  9 + x  *log (x)*\640*x *cot(x) + \5 + 2*x / *\1 + cot (x)/*cot(x) - 40*x *\1 + cot (x)/*\5 + 2*x / + 60*x *\5 + 2*x /*cot(x)/   50*x *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   16*x*\/  9 + x  *log (x)*\- \1 + cot (x)/ *\5 + 2*x /  + 15360*x *cot(x) - 1920*x *\1 + cot (x)/*\5 + 2*x / - 180*x *\5 + 2*x / *\1 + cot (x)/ - 2*\5 + 2*x / *cot (x)*\1 + cot (x)/ + 120*x*\5 + 2*x / *cot(x) + 5760*x *\5 + 2*x /*cot(x) + 120*x *\5 + 2*x / *\1 + cot (x)/*cot(x)/   24*\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   32*\/  9 + x  *log (x)*\1 + cot (x)/*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   48*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)   80*x *log (x)*\640*x *cot(x) + \5 + 2*x / *\1 + cot (x)/*cot(x) - 40*x *\1 + cot (x)/*\5 + 2*x / + 60*x *\5 + 2*x /*cot(x)/   96*\/  9 + x  *log (x)*\1 + cot (x)/*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   120*x *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   120*x *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   56320*x *\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   2560*x *\/  9 + x  *log (x)*\1 + cot (x)/*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   32*x*\/  9 + x  *log (x)*\1 + cot (x)/*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   48*x*\1 + cot (x)/ *\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   64*x*\/  9 + x  *log (x)*\1 + cot (x)/*\640*x *cot(x) + \5 + 2*x / *\1 + cot (x)/*cot(x) - 40*x *\1 + cot (x)/*\5 + 2*x / + 60*x *\5 + 2*x /*cot(x)/   80*x *log (x)*\1 + cot (x)/*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/|       |  50*x *log (x)   30*x *log(x)   12*\/  9 + x  *(2 + log(x))     |  1 + cot (x)    40*x   | |    /      5                 5*x *log(x)|          25*x *log (x)   10*x *(3 + log(x))*log(x)   4*\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   12*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)   320*x *\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\640*x *cot(x) + \5 + 2*x / *\1 + cot (x)/*cot(x) - 40*x *\1 + cot (x)/*\5 + 2*x / + 60*x *\5 + 2*x /*cot(x)/   10*x *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\1 + cot (x)/*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/|        3 |  50*x *log (x)   30*x *log(x)   12*\/  9 + x  *(2 + log(x))     |  1 + cot (x)    40*x   | |    /      5                 5*x *log(x)|          25*x *log (x)   10*x *(3 + log(x))*log(x)   4*\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   12*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)   320*x *\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\640*x *cot(x) + \5 + 2*x / *\1 + cot (x)/*cot(x) - 40*x *\1 + cot (x)/*\5 + 2*x / + 60*x *\5 + 2*x /*cot(x)/   10*x *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\1 + cot (x)/*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/|       |  50*x *log (x)   30*x *log(x)   12*\/  9 + x  *(2 + log(x))     |  1 + cot (x)    40*x   | |    /      5                 5*x *log(x)|          25*x *log (x)   10*x *(3 + log(x))*log(x)   4*\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   12*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)   320*x *\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\640*x *cot(x) + \5 + 2*x / *\1 + cot (x)/*cot(x) - 40*x *\1 + cot (x)/*\5 + 2*x / + 60*x *\5 + 2*x /*cot(x)/   10*x *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\1 + cot (x)/*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/|          6 |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|         2 |  50*x *log (x)   30*x *log(x)   12*\/  9 + x  *(2 + log(x))     |  1 + cot (x)    40*x   | |    /      5                 5*x *log(x)|          25*x *log (x)   10*x *(3 + log(x))*log(x)   4*\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   12*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)   320*x *\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\640*x *cot(x) + \5 + 2*x / *\1 + cot (x)/*cot(x) - 40*x *\1 + cot (x)/*\5 + 2*x / + 60*x *\5 + 2*x /*cot(x)/   10*x *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\1 + cot (x)/*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/|         3 /       2   \ |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|       /       2   \ |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|     |    /      5        /      5           5*x *log(x)         /      5  |  1 + cot (x)    40*x   |       | |  50*x *log (x)   30*x *log(x)   12*\/  9 + x  *(2 + log(x))     |  1 + cot (x)    40*x   | |    /      5                 5*x *log(x)|          25*x *log (x)   10*x *(3 + log(x))*log(x)   4*\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   12*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)   320*x *\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\640*x *cot(x) + \5 + 2*x / *\1 + cot (x)/*cot(x) - 40*x *\1 + cot (x)/*\5 + 2*x / + 60*x *\5 + 2*x /*cot(x)/   10*x *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\1 + cot (x)/*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/|     |    /      5        /      5           5*x *log(x)   2*x*\/  9 + x  *\1 + cot (x)/*log(x)| |  50*x *log (x)   30*x *log(x)   12*\/  9 + x  *(2 + log(x))     |  1 + cot (x)    40*x   | |    /      5                 5*x *log(x)|          25*x *log (x)   10*x *(3 + log(x))*log(x)   4*\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   12*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)   320*x *\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\640*x *cot(x) + \5 + 2*x / *\1 + cot (x)/*cot(x) - 40*x *\1 + cot (x)/*\5 + 2*x / + 60*x *\5 + 2*x /*cot(x)/   10*x *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\1 + cot (x)/*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/|     |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)| |  24*\/  9 + x     60*x *log (x)   60*x *log(x)   12*\/  9 + x  *log(x)       /      5     2    |  1 + cot (x)    40*x   |        /      5  |  1 + cot (x)    40*x   |          25*x *log (x)   12*\/  9 + x  *\1 + cot (x)/*log(x)   4*\/  9 + x  *log (x)*\1 + cot (x)/         /      5     2    |       2      \1 + cot (x)/       960*x       60*x      40*x *\1 + cot (x)/|                 \                5 + 2*x /   160*x *\/  9 + x  *log (x)       400*x *log (x)       480*x *\/  9 + x  *log(x)   10*x *log (x)*\1 + cot (x)/|      |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)| |    /      5        /      5           5*x *log(x)   2*x*\/  9 + x  *\1 + cot (x)/*log(x)|      |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)| |    /      5        /      5           5*x *log(x)         /      5  |  1 + cot (x)    40*x   |       |       2 |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)| |    /      5        /      5           5*x *log(x)   2*x*\/  9 + x  *\1 + cot (x)/*log(x)|      |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)| |    /      5        /      5           5*x *log(x)   2*x*\/  9 + x  *\1 + cot (x)/*log(x)|       2 |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)| |    /      5        /      5           5*x *log(x)         /      5  |  1 + cot (x)    40*x   |       |      |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)| |    /      5        /      5           5*x *log(x)         /      5  |  1 + cot (x)    40*x   |       |           |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|   |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)| |    /      5        /      5           5*x *log(x)         /      5  |  1 + cot (x)    40*x   |       | |    /      5        /      5           5*x *log(x)   2*x*\/  9 + x  *\1 + cot (x)/*log(x)|        /       2   \ |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|          |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)| |    /      5        /      5           5*x *log(x)         /      5  |  1 + cot (x)    40*x   |       |         |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)| |    /      5        /      5           5*x *log(x)   2*x*\/  9 + x  *\1 + cot (x)/*log(x)|       /       2   \ |  50*x *log (x)   30*x *log(x)   12*\/  9 + x  *(2 + log(x))     |  1 + cot (x)    40*x   | |    /      5                 5*x *log(x)|          25*x *log (x)   10*x *(3 + log(x))*log(x)   4*\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   12*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)   320*x *\/  9 + x  *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\640*x *cot(x) + \5 + 2*x / *\1 + cot (x)/*cot(x) - 40*x *\1 + cot (x)/*\5 + 2*x / + 60*x *\5 + 2*x /*cot(x)/   10*x *log (x)*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/   8*x*\/  9 + x  *log (x)*\1 + cot (x)/*\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/|          2 /       2   \ |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)|      /       2   \ |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)| |    /      5        /      5           5*x *log(x)   2*x*\/  9 + x  *\1 + cot (x)/*log(x)|      /       2   \ |      /      5                 5*x *log(x)   2*x*\/  9 + x  *\- \1 + cot (x)/*\5 + 2*x / + 40*x *cot(x)/*log(x)| |    /      5        /      5           5*x *log(x)         /      5  |  1 + cot (x)    40*x   |       ||
      _______________________ |  4800*x *|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   512*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   1280*x *|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   276480*x *|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   11520*x*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   3840*x *|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   3072*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   2304*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   512*\1 + cot (x)/*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   64*|- -------------- - -------------- - --------------- - ------------- + 2*|- ----------- + --------|*|- ------------- + --------------------------- + ------------ + ------------- + -------------------------|*log(x) + 8*log (x)*|2*\/  9 + x  *(3 + log(x)) + -----------|*|1 + cot (x) - -------------- - ----------- + -------- + -------------------| + ----------------------------- + -------------- + -------------- - -------------------------- - -------------------------- - --------------------------------------------------------------------------------------------------------------------------------- + -------------------------- + ----------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------ - ----------------------------------------------------------------------- - ----------------------------------------------------------------------- - ----------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------ + -------------------------------------------------------------------------------- + ----------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + ---------------------------------------------------------- + ---------------------------------------------------------- + ------------------------------------------------------------------------ - ------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------|   256*|- ------------- - ------------ - --------------------------- + 2*|- ----------- + --------|*|2*\/  9 + x  *(3 + log(x)) + -----------|*log(x) + ------------- - ------------------------- + ----------------------------------------------------------------- + ----------------------------------------------------------------- - ---------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------- + ---------------------------------------------------------------------------------|   640*x *|- ------------- - ------------ - --------------------------- + 2*|- ----------- + --------|*|2*\/  9 + x  *(3 + log(x)) + -----------|*log(x) + ------------- - ------------------------- + ----------------------------------------------------------------- + ----------------------------------------------------------------- - ---------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------- + ---------------------------------------------------------------------------------|   768*|- ------------- - ------------ - --------------------------- + 2*|- ----------- + --------|*|2*\/  9 + x  *(3 + log(x)) + -----------|*log(x) + ------------- - ------------------------- + ----------------------------------------------------------------- + ----------------------------------------------------------------- - ---------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------- + ---------------------------------------------------------------------------------|   48000*x *|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   9600*x *|- ------------- - ------------ - --------------------------- + 2*|- ----------- + --------|*|2*\/  9 + x  *(3 + log(x)) + -----------|*log(x) + ------------- - ------------------------- + ----------------------------------------------------------------- + ----------------------------------------------------------------- - ---------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------- + ---------------------------------------------------------------------------------|   1280*x *\1 + cot (x)/*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   512*\1 + cot (x)/*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   8*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- - 2*x*\/  9 + x  *|- ----------- + --------|*log(x)|*|- ------------- - ------------ - --------------------------- + 2*|- ----------- + --------|*|2*\/  9 + x  *(3 + log(x)) + -----------|*log(x) + ------------- - ------------------------- + ----------------------------------------------------------------- + ----------------------------------------------------------------- - ---------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------- + ---------------------------------------------------------------------------------|   8*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- + ------------------------------------|*|- ------------- - ------------ - --------------------------- + 2*|- ----------- + --------|*|2*\/  9 + x  *(3 + log(x)) + -----------|*log(x) + ------------- - ------------------------- + ----------------------------------------------------------------- + ----------------------------------------------------------------- - ---------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------- + ---------------------------------------------------------------------------------|   8*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|*|- -------------- - ------------- - ------------ - --------------------- + 4*\/  9 + x  *log (x)*|- ----------- + --------| + 12*\/  9 + x  *|- ----------- + --------|*log(x) + ------------- - ----------------------------------- - ----------------------------------- + 8*x*\/  9 + x  *log (x)*|1 + cot (x) - -------------- - ----------- + -------- + -------------------| + ---------------------------------------- + -------------------------- + ---------------------- + ------------------------- - ---------------------------|   16*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- + ------------------------------------|   32*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- - 2*x*\/  9 + x  *|- ----------- + --------|*log(x)|   40*x *|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- + ------------------------------------|   48*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- + ------------------------------------|   80*x *|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- - 2*x*\/  9 + x  *|- ----------- + --------|*log(x)|   96*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- - 2*x*\/  9 + x  *|- ----------- + --------|*log(x)|   57600*x*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   |- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- - 2*x*\/  9 + x  *|- ----------- + --------|*log(x)|*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- + ------------------------------------|   1536*\1 + cot (x)/*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   1200*x*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- - 2*x*\/  9 + x  *|- ----------- + --------|*log(x)|   640*x*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- + ------------------------------------|   256*\1 + cot (x)/*|- ------------- - ------------ - --------------------------- + 2*|- ----------- + --------|*|2*\/  9 + x  *(3 + log(x)) + -----------|*log(x) + ------------- - ------------------------- + ----------------------------------------------------------------- + ----------------------------------------------------------------- - ---------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------- + ---------------------------------------------------------------------------------|   19200*x *\1 + cot (x)/*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|   16*\1 + cot (x)/*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- + ------------------------------------|   32*\1 + cot (x)/*|- 2*\/  9 + x  *(3 + log(x)) - ----------- + ------------------------------------------------------------------|*|6*\/  9 + x   + 2*\/  9 + x  *log(x) + ----------- - 2*x*\/  9 + x  *|- ----------- + --------|*log(x)||
     /      ________          |          |                                  ________                           /       4\                                |       |                                  ________                           /       4\                                |           |                                  ________                           /       4\                                |             |                                  ________                           /       4\                                |           |                                  ________                           /       4\                                |           |                                  ________                           /       4\                                |        |                                  ________                           /       4\                                |        |                                  ________                           /       4\                                |                     |                                  ________                           /       4\                                |      |      ________         ________               5/2         ________      |     cot(x)            4| |           3/2                 x                   ________        ________              ________       |                    |                                ________| |                    2                    2          4    /       4\        |                  2                         3/2              3/2               ________                     ________                                                                         cot(x)                                                                               3/2                                                                          4                                                                                                                             2                                                                                                                                      2                                                                                                        2                                                                         2                                                             2    ________                                                                                              3                                                                                                      3/2                                                                                                                                                                    3                                                                                                                                                                     /       4\                                                                 /       4\    2                                                              /       4\                                                                                          2    ________                                                                                       /       4\    2                                                                 ________                                                     ________                                                              3                                                                                2                                                                            /       4\                                                                            /       4\    3                                                                                                                2                                                                                                               ________                            |       |      ________       ________                 x                  |     cot(x)            4| |                                ________|                   3/2              ________                                  /       4\                                                          /       4\                                                                      2                                                                                                        2                                                                                               ________                                                        /       4\    2                                  |          |      ________       ________                 x                  |     cot(x)            4| |                                ________|                   3/2              ________                                  /       4\                                                          /       4\                                                                      2                                                                                                        2                                                                                               ________                                                        /       4\    2                                  |       |      ________       ________                 x                  |     cot(x)            4| |                                ________|                   3/2              ________                                  /       4\                                                          /       4\                                                                      2                                                                                                        2                                                                                               ________                                                        /       4\    2                                  |            |                                  ________                           /       4\                                |           |      ________       ________                 x                  |     cot(x)            4| |                                ________|                   3/2              ________                                  /       4\                                                          /       4\                                                                      2                                                                                                        2                                                                                               ________                                                        /       4\    2                                  |                         |                                  ________                           /       4\                                |                     |                                  ________                           /       4\                                |     |                                          ________                   |     cot(x)            4|       | |      ________       ________                 x                  |     cot(x)            4| |                                ________|                   3/2              ________                                  /       4\                                                          /       4\                                                                      2                                                                                                        2                                                                                               ________                                                        /       4\    2                                  |     |                                          ________                  cot(x)               | |      ________       ________                 x                  |     cot(x)            4| |                                ________|                   3/2              ________                                  /       4\                                                          /       4\                                                                      2                                                                                                        2                                                                                               ________                                                        /       4\    2                                  |     |                                  ________                           /       4\                                | |        x              ________       ________              x                                   |     cot(x)            4|                  |     cot(x)            4|                   3/2                   cot(x)                                cot(x)                                         |                    2                    2          4    /       4\        |                    ________                                  4                          ________                   4                   ________           |      |                                  ________                           /       4\                                | |                                          ________                  cot(x)               |      |                                  ________                           /       4\                                | |                                          ________                   |     cot(x)            4|       |         |                                  ________                           /       4\                                | |                                          ________                  cot(x)               |      |                                  ________                           /       4\                                | |                                          ________                  cot(x)               |         |                                  ________                           /       4\                                | |                                          ________                   |     cot(x)            4|       |      |                                  ________                           /       4\                                | |                                          ________                   |     cot(x)            4|       |           |                                  ________                           /       4\                                |   |                                  ________                           /       4\                                | |                                          ________                   |     cot(x)            4|       | |                                          ________                  cot(x)               |                      |                                  ________                           /       4\                                |          |                                  ________                           /       4\                                | |                                          ________                   |     cot(x)            4|       |         |                                  ________                           /       4\                                | |                                          ________                  cot(x)               |                     |      ________       ________                 x                  |     cot(x)            4| |                                ________|                   3/2              ________                                  /       4\                                                          /       4\                                                                      2                                                                                                        2                                                                                               ________                                                        /       4\    2                                  |                          |                                  ________                           /       4\                                |                    |                                  ________                           /       4\                                | |                                          ________                  cot(x)               |                    |                                  ________                           /       4\                                | |                                          ________                   |     cot(x)            4|       ||
    /      /      5     3     |          |                                 /      5                            \5 + 2*x /*cot(x)                         |       |                                 /      5                            \5 + 2*x /*cot(x)                         |           |                                 /      5                            \5 + 2*x /*cot(x)                         |             |                                 /      5                            \5 + 2*x /*cot(x)                         |           |                                 /      5                            \5 + 2*x /*cot(x)                         |           |                                 /      5                            \5 + 2*x /*cot(x)                         |        |                                 /      5                            \5 + 2*x /*cot(x)                         |        |                                 /      5                            \5 + 2*x /*cot(x)                         |                     |                                 /      5                            \5 + 2*x /*cot(x)                         |      |     /      5         /      5        /     5\           /      5       \                5 + 2*x / |   /     5\                                       /      5        /      5              /      5        |                    |                               /      5 | |                 cot (x)       /       4\    5 + 2*x     \5 + 2*x /*cot(x) |                 x                  /     5\         /     5\                 /      5                     /      5                                                                                                                                                       /     5\                                                                      5 + 2*x                                                                                                                    /       4\                                                                                                                             /       4\                                                                                               /       4\                                                                /       4\                                                    /       4\    /      5                                                                                     /       4\                                                                                    /       4\ /     5\                                                                                                                                                             /       4\                                                                                                                                                                    x*\5 + 2*x /*cot(x)                                                          \5 + 2*x /*cot (x)                                                         x*\5 + 2*x /*cot(x)                                                                         /       4\    /      5                                                                                        \5 + 2*x /*cot (x)                                                /       4\   /      5                                        /       4\   /      5                                                     /       4\                                                                       /       4\     2                                                                       \5 + 2*x /*cot(x)                                                                     \5 + 2*x /*cot (x)                                                                                                   /       4\     2                                                                                            /       4\   /      5     2                       |       |     /      5       /      5                                     \                5 + 2*x / |                               /      5 |           /     5\                /      5                                   \5 + 2*x /*cot(x)                                                   \5 + 2*x /*cot(x)                                                     /       4\                                                                                               /       4\                                                                                  /       4\   /      5                                                         \5 + 2*x /*cot (x)                               |          |     /      5       /      5                                     \                5 + 2*x / |                               /      5 |           /     5\                /      5                                   \5 + 2*x /*cot(x)                                                   \5 + 2*x /*cot(x)                                                     /       4\                                                                                               /       4\                                                                                  /       4\   /      5                                                         \5 + 2*x /*cot (x)                               |       |     /      5       /      5                                     \                5 + 2*x / |                               /      5 |           /     5\                /      5                                   \5 + 2*x /*cot(x)                                                   \5 + 2*x /*cot(x)                                                     /       4\                                                                                               /       4\                                                                                  /       4\   /      5                                                         \5 + 2*x /*cot (x)                               |            |                                 /      5                            \5 + 2*x /*cot(x)                         |           |     /      5       /      5                                     \                5 + 2*x / |                               /      5 |           /     5\                /      5                                   \5 + 2*x /*cot(x)                                                   \5 + 2*x /*cot(x)                                                     /       4\                                                                                               /       4\                                                                                  /       4\   /      5                                                         \5 + 2*x /*cot (x)                               |                         |                                 /      5                            \5 + 2*x /*cot(x)                         |                     |                                 /      5                            \5 + 2*x /*cot(x)                         |     |                                         /      5                    \                5 + 2*x /       | |     /      5       /      5                                     \                5 + 2*x / |                               /      5 |           /     5\                /      5                                   \5 + 2*x /*cot(x)                                                   \5 + 2*x /*cot(x)                                                     /       4\                                                                                               /       4\                                                                                  /       4\   /      5                                                         \5 + 2*x /*cot (x)                               |     |                                         /      5                                        | |     /      5       /      5                                     \                5 + 2*x / |                               /      5 |           /     5\                /      5                                   \5 + 2*x /*cot(x)                                                   \5 + 2*x /*cot(x)                                                     /       4\                                                                                               /       4\                                                                                  /       4\   /      5                                                         \5 + 2*x /*cot (x)                               |     |                                 /      5                            \5 + 2*x /*cot(x)                         | |                      /      5       /      5                                                   \                5 + 2*x /                  \                5 + 2*x /           /     5\                                                                                                           |                 cot (x)       /       4\    5 + 2*x     \5 + 2*x /*cot(x) |                   /      5                            5 + 2*x             /       4\   /      5             5 + 2*x                   /      5            |      |                                 /      5                            \5 + 2*x /*cot(x)                         | |                                         /      5                                        |      |                                 /      5                            \5 + 2*x /*cot(x)                         | |                                         /      5                    \                5 + 2*x /       |         |                                 /      5                            \5 + 2*x /*cot(x)                         | |                                         /      5                                        |      |                                 /      5                            \5 + 2*x /*cot(x)                         | |                                         /      5                                        |         |                                 /      5                            \5 + 2*x /*cot(x)                         | |                                         /      5                    \                5 + 2*x /       |      |                                 /      5                            \5 + 2*x /*cot(x)                         | |                                         /      5                    \                5 + 2*x /       |           |                                 /      5                            \5 + 2*x /*cot(x)                         |   |                                 /      5                            \5 + 2*x /*cot(x)                         | |                                         /      5                    \                5 + 2*x /       | |                                         /      5                                        |                      |                                 /      5                            \5 + 2*x /*cot(x)                         |          |                                 /      5                            \5 + 2*x /*cot(x)                         | |                                         /      5                    \                5 + 2*x /       |         |                                 /      5                            \5 + 2*x /*cot(x)                         | |                                         /      5                                        |                     |     /      5       /      5                                     \                5 + 2*x / |                               /      5 |           /     5\                /      5                                   \5 + 2*x /*cot(x)                                                   \5 + 2*x /*cot(x)                                                     /       4\                                                                                               /       4\                                                                                  /       4\   /      5                                                         \5 + 2*x /*cot (x)                               |                          |                                 /      5                            \5 + 2*x /*cot(x)                         |                    |                                 /      5                            \5 + 2*x /*cot(x)                         | |                                         /      5                                        |                    |                                 /      5                            \5 + 2*x /*cot(x)                         | |                                         /      5                    \                5 + 2*x /       ||
   /   x*\/  9 + x  *log (x)  |          \                               \/  9 + x                                                                       /       \                               \/  9 + x                                                                       /           \                               \/  9 + x                                                                       /             \                               \/  9 + x                                                                       /           \                               \/  9 + x                                                                       /           \                               \/  9 + x                                                                       /        \                               \/  9 + x                                                                       /        \                               \/  9 + x                                                                       /                     \                               \/  9 + x                                                                       /      \   \/  9 + x        \/  9 + x         \9 + x /         \/  9 + x                                   \   \9 + x /                                     \/  9 + x       \/  9 + x             \/  9 + x         /                    \                             \/  9 + x  / \                               \5 + 2*x /                                  /                                    \9 + x /         \9 + x /               \/  9 + x                    \/  9 + x                                                                                                                                                        \9 + x /                                                                                                                                                                                                 \5 + 2*x / *cot(x)                                                                                                                     \5 + 2*x / *cot(x)                                                                                       \5 + 2*x / *cot(x)                                                        \5 + 2*x / *cot(x)                                            \5 + 2*x / *\/  9 + x  *cot(x)                                                                             \5 + 2*x / *cot(x)                                                                            \5 + 2*x /*\9 + x /   *cot(x)                                                                                                                                                   \5 + 2*x / *cot(x)                                                                                                                                                                                                                                                                                                                                                                                                                \5 + 2*x / *\/  9 + x  *cot(x)                                                                                                                                                  \5 + 2*x /*\/  9 + x  *cot(x)                                \5 + 2*x /*\/  9 + x  *cot(x)                                             \5 + 2*x / *cot(x)                                                               \5 + 2*x / *cot (x)                                                                                                                                                                                                                                                                               \5 + 2*x / *cot (x)                                                                                         \5 + 2*x /*\/  9 + x  *cot (x)                    /       \   \/  9 + x      \/  9 + x                                                                 \                             \/  9 + x  /           \9 + x /              \/  9 + x                                                                                                                                                                              \5 + 2*x / *cot(x)                                                                                       \5 + 2*x / *cot(x)                                                                          \5 + 2*x /*\/  9 + x  *cot(x)                                                                                                  /          \   \/  9 + x      \/  9 + x                                                                 \                             \/  9 + x  /           \9 + x /              \/  9 + x                                                                                                                                                                              \5 + 2*x / *cot(x)                                                                                       \5 + 2*x / *cot(x)                                                                          \5 + 2*x /*\/  9 + x  *cot(x)                                                                                                  /       \   \/  9 + x      \/  9 + x                                                                 \                             \/  9 + x  /           \9 + x /              \/  9 + x                                                                                                                                                                              \5 + 2*x / *cot(x)                                                                                       \5 + 2*x / *cot(x)                                                                          \5 + 2*x /*\/  9 + x  *cot(x)                                                                                                  /            \                               \/  9 + x                                                                       /           \   \/  9 + x      \/  9 + x                                                                 \                             \/  9 + x  /           \9 + x /              \/  9 + x                                                                                                                                                                              \5 + 2*x / *cot(x)                                                                                       \5 + 2*x / *cot(x)                                                                          \5 + 2*x /*\/  9 + x  *cot(x)                                                                                                  /                         \                               \/  9 + x                                                                       /                     \                               \/  9 + x                                                                       /     \                                       \/  9 + x                                                      / \   \/  9 + x      \/  9 + x                                                                 \                             \/  9 + x  /           \9 + x /              \/  9 + x                                                                                                                                                                              \5 + 2*x / *cot(x)                                                                                       \5 + 2*x / *cot(x)                                                                          \5 + 2*x /*\/  9 + x  *cot(x)                                                                                                  /     \                                       \/  9 + x                                         / \   \/  9 + x      \/  9 + x                                                                 \                             \/  9 + x  /           \9 + x /              \/  9 + x                                                                                                                                                                              \5 + 2*x / *cot(x)                                                                                       \5 + 2*x / *cot(x)                                                                          \5 + 2*x /*\/  9 + x  *cot(x)                                                                                                  /     \                               \/  9 + x                                                                       / \                    \/  9 + x      \/  9 + x                                                                                                                                     \9 + x /                                                                                                           \                               \5 + 2*x /                                  /                 \/  9 + x                                                 \5 + 2*x /*\/  9 + x                                      \/  9 + x  *cot(x)    /      \                               \/  9 + x                                                                       / \                                       \/  9 + x                                         /      \                               \/  9 + x                                                                       / \                                       \/  9 + x                                                      /         \                               \/  9 + x                                                                       / \                                       \/  9 + x                                         /      \                               \/  9 + x                                                                       / \                                       \/  9 + x                                         /         \                               \/  9 + x                                                                       / \                                       \/  9 + x                                                      /      \                               \/  9 + x                                                                       / \                                       \/  9 + x                                                      /           \                               \/  9 + x                                                                       /   \                               \/  9 + x                                                                       / \                                       \/  9 + x                                                      / \                                       \/  9 + x                                         /                      \                               \/  9 + x                                                                       /          \                               \/  9 + x                                                                       / \                                       \/  9 + x                                                      /         \                               \/  9 + x                                                                       / \                                       \/  9 + x                                         /                     \   \/  9 + x      \/  9 + x                                                                 \                             \/  9 + x  /           \9 + x /              \/  9 + x                                                                                                                                                                              \5 + 2*x / *cot(x)                                                                                       \5 + 2*x / *cot(x)                                                                          \5 + 2*x /*\/  9 + x  *cot(x)                                                                                                  /                          \                               \/  9 + x                                                                       /                    \                               \/  9 + x                                                                       / \                                       \/  9 + x                                         /                    \                               \/  9 + x                                                                       / \                                       \/  9 + x                                                      /|
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\/             cot(x)         |                                                                 5/2                                                                                                                    ________                                                                                                                     3/2                                                                                                                      2    ________                                                                                                                     ________                                                                                                                3/2                                                                                                                   ________                                                                                                                 ________                                                                                                                           ________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 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                                                                                                                                                                                                                                                                                                                         ________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         3/2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     ________                                                                                                                                                                                                                                                                                                                                                                                                                         3/2                                                                                                                                                                                                                                                                                                                                                                                                          ________                                                                                                                                                                                                                                                                                                                                                                                                                     3/2                                                                                                                                 ________                                                                                                                                                                                                                                                                                                                                                                                                                                                                2 /     5\    2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2 /     5\    2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2 /     5\    2                                                                                                                                                                                                                                                                                                                                                                                                                              3 /     5\                                                                                                                                                                                                                3 /     5\                                                                                                                                                                                                                         2                                                                                                                                                                                                          3 /     5\    2                                                                                                                                                                                                                     2                                                                                                                                                                                                                        3 /     5\    2                                                                                                                                                                       ________                                                                                                                                                                                                                   3/2                                                                                                                                                                                                                     ________                                                                                                                                                                         /       4\ /     5\                                                                                                                                                                                                          /       4\ /     5\                                                                                                                                                                                                                                                                                                                                                                                                                                                        ________                                                                                                                                                                                                                                                                                                                                                                                                                                  ________                                                                                                                                                                   2 /     5\                                                                                                                                                                                                                              2 /     5\                                                                                                                       |
                              |                                                         /     5\                                                                                                                  3   /      5                                                                                                              /     5\                                                                                                               /       4\    /      5                                                                                                        /       4\   /      5                                                                                                         /     5\                                                                                                                 3   /      5     2                                                                                                       3   /      5                                                                                                                           /      5                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              /      5     2                                                                                                                                                                                                                                                                                                                                                                                                                                               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5\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   2   /      5     2                                                                                                                                                                                                                                                                                                                                                                                                 /       4\ /     5\                                                                                                                                                                                                                                                                                                                                                                                               /       4\   /      5                                                                                                                                                                                                                                                                                                                                                                                                              /     5\                                                                                                                               2   /      5                                                                                                                                                                                                                                                                                                                                                                                                                                                                x *\9 + x /*log (x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x *\9 + x /*log (x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  x *\9 + x /*log (x)                                                                                                                                                                                                                                                                                                                                                                                                                          x *\9 + x /*log(x)                                                                                                                                                                                                        x *\9 + x /*log(x)                                                                                                                                                                                                          /     5\                                                                                                                                                                                                          x *\9 + x /*log (x)                                                                                                                                                                                                          /     5\                                                                                                                                                                                                                        x *\9 + x /*log (x)                                                                                                                                                      /       4\   /      5                                                                                                                                                                                                          3 /     5\       2                                                                                                                                                                                                           2   /      5                                                                                                                                                                          \5 + 2*x /*\9 + x /*log(x)                                                                                                                                                                                                   \5 + 2*x /*\9 + x /*log(x)                                                                                                                                                                                                                                                                                                                                                                                                                                                /      5                                                                                                                                                                                                                                                                                                                                                                                                                     /       4\   /      5                                                                                                                                                                   x *\9 + x /*cot(x)*log(x)                                                                                                                                                                                                               x *\9 + x /*cot(x)*log(x)                                                                                                         |
                              \                                                         \9 + x /                                                                                                                 x *\/  9 + x                                                                                                               \9 + x /                                                                                                               \5 + 2*x / *\/  9 + x                                                                                                         \5 + 2*x /*\/  9 + x                                                                                                          \9 + x /   *log(x)                                                                                                      x *\/  9 + x  *log (x)                                                                                                   x *\/  9 + x  *log(x)                                                                                                               x*\/  9 + x                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           x*\/  9 + x  *log (x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x *\/  9 + x  *log(x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \9 + x /   *log(x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        x *\/  9 + x  *log (x)                                                                                                                                                                                                                                                                                                                                                                                              \5 + 2*x /*\9 + x /                                                                                                                                                                                                                                                                                                                                                                                               \5 + 2*x /*\/  9 + x  *log(x)                                                                                                                                                                                                                                                                                                                                                                                                      \9 + x /   *cot(x)                                                                                                                    x *\/  9 + x  *cot(x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           \9 + x / *log(x)                                                                                                                                                                                                                                                                                                                                                                                                                               \9 + x / *log(x)                                                                                                                                                                                                                                                                                                                                                                                         \5 + 2*x /*\/  9 + x  *log(x)                                                                                                                                                                                                 x *\9 + x /   *log (x)                                                                                                                                                                                                       x *\/  9 + x  *cot(x)*log(x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              x*\/  9 + x  *cot(x)*log(x)                                                                                                                                                                                                                                                                                                                                                                                                      \5 + 2*x /*\/  9 + x  *cot(x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     /
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           4096*\5 + 2*x /   *log(x)
xx5+9log⁡(x)3cot⁡(x)8(−4800x7(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(x5+9)52+48000x6(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(2x4+5)(x5+9)32−276480x5(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(2x4+5)2x5+9−1280x3(cot⁡2(x)+1)(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(x5+9)32cot⁡(x)+640x3(25x9log⁡(x)2(x5+9)32+10x5(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)x5+9cot⁡(x)−10x4(log⁡(x)+3)log⁡(x)x5+9−50x4log⁡(x)2x5+9−30x4log⁡(x)x5+9−320x4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)2cot⁡(x)+8xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)log⁡(x)2(2x4+5)cot⁡2(x)+8xx5+9(640x6cot⁡(x)−40x3(2x4+5)(cot⁡2(x)+1)+60x2(2x4+5)cot⁡(x)+(2x4+5)2(cot⁡2(x)+1)cot⁡(x))log⁡(x)2(2x4+5)2cot⁡(x)+2(40x32x4+5−cot⁡2(x)+1cot⁡(x))(5x5log⁡(x)x5+9+2x5+9(log⁡(x)+3))log⁡(x)+4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)cot⁡(x)+12x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−12x5+9(log⁡(x)+2)x)(x5+9)32log⁡(x)+80x2(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(5x5log⁡(x)x5+9−2xx5+9(40x32x4+5−cot⁡2(x)+1cot⁡(x))log⁡(x)+2x5+9log⁡(x)+6x5+9)(x5+9)2log⁡(x)+40x2(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(5x5log⁡(x)x5+9+2xx5+9(cot⁡2(x)+1)log⁡(x)cot⁡(x)+2x5+9log⁡(x)+6x5+9)(x5+9)2log⁡(x)+1280x2(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(x5+9)32−3840x2(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(x5+9)32log⁡(x)+19200x2(cot⁡2(x)+1)(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(2x4+5)x5+9cot⁡(x)−9600x2(25x9log⁡(x)2(x5+9)32+10x5(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)x5+9cot⁡(x)−10x4(log⁡(x)+3)log⁡(x)x5+9−50x4log⁡(x)2x5+9−30x4log⁡(x)x5+9−320x4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)2cot⁡(x)+8xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)log⁡(x)2(2x4+5)cot⁡2(x)+8xx5+9(640x6cot⁡(x)−40x3(2x4+5)(cot⁡2(x)+1)+60x2(2x4+5)cot⁡(x)+(2x4+5)2(cot⁡2(x)+1)cot⁡(x))log⁡(x)2(2x4+5)2cot⁡(x)+2(40x32x4+5−cot⁡2(x)+1cot⁡(x))(5x5log⁡(x)x5+9+2x5+9(log⁡(x)+3))log⁡(x)+4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)cot⁡(x)+12x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−12x5+9(log⁡(x)+2)x)(2x4+5)x5+9log⁡(x)−1200x(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(5x5log⁡(x)x5+9−2xx5+9(40x32x4+5−cot⁡2(x)+1cot⁡(x))log⁡(x)+2x5+9log⁡(x)+6x5+9)(2x4+5)(x5+9)log⁡(x)−640x(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(5x5log⁡(x)x5+9+2xx5+9(cot⁡2(x)+1)log⁡(x)cot⁡(x)+2x5+9log⁡(x)+6x5+9)(2x4+5)(x5+9)log⁡(x)−11520x(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(2x4+5)x5+9+57600x(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(2x4+5)x5+9log⁡(x)−512(cot⁡2(x)+1)(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))xx5+9+256(cot⁡2(x)+1)(25x9log⁡(x)2(x5+9)32+10x5(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)x5+9cot⁡(x)−10x4(log⁡(x)+3)log⁡(x)x5+9−50x4log⁡(x)2x5+9−30x4log⁡(x)x5+9−320x4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)2cot⁡(x)+8xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)log⁡(x)2(2x4+5)cot⁡2(x)+8xx5+9(640x6cot⁡(x)−40x3(2x4+5)(cot⁡2(x)+1)+60x2(2x4+5)cot⁡(x)+(2x4+5)2(cot⁡2(x)+1)cot⁡(x))log⁡(x)2(2x4+5)2cot⁡(x)+2(40x32x4+5−cot⁡2(x)+1cot⁡(x))(5x5log⁡(x)x5+9+2x5+9(log⁡(x)+3))log⁡(x)+4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)cot⁡(x)+12x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−12x5+9(log⁡(x)+2)x)xx5+9log⁡(x)cot⁡(x)−64(−375x13log⁡(x)3(x5+9)52−50x9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)3(2x4+5)(x5+9)32cot⁡(x)+50x8(log⁡(x)+3)log⁡(x)2(x5+9)32+700x8log⁡(x)3(x5+9)32+300x8log⁡(x)2(x5+9)32−3200x8(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)3(2x4+5)2x5+9cot⁡(x)+56320x7x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)3(2x4+5)3cot⁡(x)+80x5(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)log⁡(x)3(2x4+5)x5+9cot⁡2(x)+80x5(640x6cot⁡(x)−40x3(2x4+5)(cot⁡2(x)+1)+60x2(2x4+5)cot⁡(x)+(2x4+5)2(cot⁡2(x)+1)cot⁡(x))log⁡(x)3(2x4+5)2x5+9cot⁡(x)+120x4(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)3(2x4+5)x5+9cot⁡(x)+120x4(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)x5+9cot⁡(x)−2560x4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)log⁡(x)3(2x4+5)2cot⁡2(x)−2560x4x5+9(640x6cot⁡(x)−40x3(2x4+5)(cot⁡2(x)+1)+60x2(2x4+5)cot⁡(x)+(2x4+5)2(cot⁡2(x)+1)cot⁡(x))log⁡(x)3(2x4+5)3cot⁡(x)−120x3(log⁡(x)+2)log⁡(x)x5+9−80x3(log⁡(x)+3)log⁡(x)2x5+9−400x3log⁡(x)3x5+9−540x3log⁡(x)2x5+9−120x3log⁡(x)x5+9+80x3(−25x9log⁡(x)2(x5+9)32+10x4(log⁡(x)+3)log⁡(x)x5+9+50x4log⁡(x)2x5+9+30x4log⁡(x)x5+9+12x5+9(log⁡(x)+2)x)log⁡(x)2x4+5−3200x3x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)3(2x4+5)2cot⁡(x)−3840x3x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)2cot⁡(x)+48xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)2log⁡(x)3(2x4+5)cot⁡3(x)−32xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)log⁡(x)3(2x4+5)cot⁡(x)+64xx5+9(cot⁡2(x)+1)(640x6cot⁡(x)−40x3(2x4+5)(cot⁡2(x)+1)+60x2(2x4+5)cot⁡(x)+(2x4+5)2(cot⁡2(x)+1)cot⁡(x))log⁡(x)3(2x4+5)2cot⁡2(x)+16xx5+9(15360x9cot⁡(x)−1920x6(2x4+5)(cot⁡2(x)+1)+5760x5(2x4+5)cot⁡(x)+120x3(2x4+5)2(cot⁡2(x)+1)cot⁡(x)−180x2(2x4+5)2(cot⁡2(x)+1)+120x(2x4+5)2cot⁡(x)−(2x4+5)3(cot⁡2(x)+1)2−2(2x4+5)3(cot⁡2(x)+1)cot⁡2(x))log⁡(x)3(2x4+5)3cot⁡(x)+2(40x32x4+5−cot⁡2(x)+1cot⁡(x))(−25x9log⁡(x)2(x5+9)32+10x4(log⁡(x)+3)log⁡(x)x5+9+50x4log⁡(x)2x5+9+30x4log⁡(x)x5+9+12x5+9(log⁡(x)+2)x)log⁡(x)+8(5x5log⁡(x)x5+9+2x5+9(log⁡(x)+3))(−960x6(2x4+5)2+40x3(cot⁡2(x)+1)(2x4+5)cot⁡(x)+60x22x4+5−(cot⁡2(x)+1)2cot⁡2(x)+cot⁡2(x)+1)log⁡(x)2−2(cot⁡2(x)+1)(−25x9log⁡(x)2(x5+9)32+10x4(log⁡(x)+3)log⁡(x)x5+9+50x4log⁡(x)2x5+9+30x4log⁡(x)x5+9+12x5+9(log⁡(x)+2)x)log⁡(x)cot⁡(x)+32x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)log⁡(x)3(2x4+5)cot⁡2(x)+96x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)log⁡(x)2(2x4+5)cot⁡2(x)+32x5+9(640x6cot⁡(x)−40x3(2x4+5)(cot⁡2(x)+1)+60x2(2x4+5)cot⁡(x)+(2x4+5)2(cot⁡2(x)+1)cot⁡(x))log⁡(x)3(2x4+5)2cot⁡(x)+96x5+9(640x6cot⁡(x)−40x3(2x4+5)(cot⁡2(x)+1)+60x2(2x4+5)cot⁡(x)+(2x4+5)2(cot⁡2(x)+1)cot⁡(x))log⁡(x)2(2x4+5)2cot⁡(x)+24x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2x(2x4+5)cot⁡(x)+48x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)x(2x4+5)cot⁡(x)+24x5+9(log⁡(x)2−2)x2)xx5+9log⁡(x)2+32(cot⁡2(x)+1)(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(5x5log⁡(x)x5+9−2xx5+9(40x32x4+5−cot⁡2(x)+1cot⁡(x))log⁡(x)+2x5+9log⁡(x)+6x5+9)x2(x5+9)log⁡(x)cot⁡(x)+16(cot⁡2(x)+1)(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(5x5log⁡(x)x5+9+2xx5+9(cot⁡2(x)+1)log⁡(x)cot⁡(x)+2x5+9log⁡(x)+6x5+9)x2(x5+9)log⁡(x)cot⁡(x)+8(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(25x9log⁡(x)2(x5+9)32+400x8log⁡(x)2(2x4+5)x5+9+10x5(40x32x4+5−cot⁡2(x)+1cot⁡(x))log⁡(x)2x5+9−10x5(cot⁡2(x)+1)log⁡(x)2x5+9cot⁡(x)−60x4log⁡(x)2x5+9−60x4log⁡(x)x5+9+160x3x5+9log⁡(x)22x4+5+480x3x5+9log⁡(x)2x4+5+8xx5+9(−960x6(2x4+5)2+40x3(cot⁡2(x)+1)(2x4+5)cot⁡(x)+60x22x4+5−(cot⁡2(x)+1)2cot⁡2(x)+cot⁡2(x)+1)log⁡(x)2+4x5+9(40x32x4+5−cot⁡2(x)+1cot⁡(x))log⁡(x)2+12x5+9(40x32x4+5−cot⁡2(x)+1cot⁡(x))log⁡(x)−4x5+9(cot⁡2(x)+1)log⁡(x)2cot⁡(x)−12x5+9(cot⁡2(x)+1)log⁡(x)cot⁡(x)−12x5+9log⁡(x)x−24x5+9x)x2(x5+9)log⁡(x)2−8(5x5log⁡(x)x5+9−2xx5+9(40x32x4+5−cot⁡2(x)+1cot⁡(x))log⁡(x)+2x5+9log⁡(x)+6x5+9)(25x9log⁡(x)2(x5+9)32+10x5(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)x5+9cot⁡(x)−10x4(log⁡(x)+3)log⁡(x)x5+9−50x4log⁡(x)2x5+9−30x4log⁡(x)x5+9−320x4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)2cot⁡(x)+8xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)log⁡(x)2(2x4+5)cot⁡2(x)+8xx5+9(640x6cot⁡(x)−40x3(2x4+5)(cot⁡2(x)+1)+60x2(2x4+5)cot⁡(x)+(2x4+5)2(cot⁡2(x)+1)cot⁡(x))log⁡(x)2(2x4+5)2cot⁡(x)+2(40x32x4+5−cot⁡2(x)+1cot⁡(x))(5x5log⁡(x)x5+9+2x5+9(log⁡(x)+3))log⁡(x)+4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)cot⁡(x)+12x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−12x5+9(log⁡(x)+2)x)x2(x5+9)log⁡(x)2−8(5x5log⁡(x)x5+9+2xx5+9(cot⁡2(x)+1)log⁡(x)cot⁡(x)+2x5+9log⁡(x)+6x5+9)(25x9log⁡(x)2(x5+9)32+10x5(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)x5+9cot⁡(x)−10x4(log⁡(x)+3)log⁡(x)x5+9−50x4log⁡(x)2x5+9−30x4log⁡(x)x5+9−320x4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)2cot⁡(x)+8xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)log⁡(x)2(2x4+5)cot⁡2(x)+8xx5+9(640x6cot⁡(x)−40x3(2x4+5)(cot⁡2(x)+1)+60x2(2x4+5)cot⁡(x)+(2x4+5)2(cot⁡2(x)+1)cot⁡(x))log⁡(x)2(2x4+5)2cot⁡(x)+2(40x32x4+5−cot⁡2(x)+1cot⁡(x))(5x5log⁡(x)x5+9+2x5+9(log⁡(x)+3))log⁡(x)+4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)cot⁡(x)+12x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−12x5+9(log⁡(x)+2)x)x2(x5+9)log⁡(x)2−512(cot⁡2(x)+1)(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))x2x5+9cot⁡(x)−1536(cot⁡2(x)+1)(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))x2x5+9log⁡(x)cot⁡(x)+256(25x9log⁡(x)2(x5+9)32+10x5(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)x5+9cot⁡(x)−10x4(log⁡(x)+3)log⁡(x)x5+9−50x4log⁡(x)2x5+9−30x4log⁡(x)x5+9−320x4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)2cot⁡(x)+8xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)log⁡(x)2(2x4+5)cot⁡2(x)+8xx5+9(640x6cot⁡(x)−40x3(2x4+5)(cot⁡2(x)+1)+60x2(2x4+5)cot⁡(x)+(2x4+5)2(cot⁡2(x)+1)cot⁡(x))log⁡(x)2(2x4+5)2cot⁡(x)+2(40x32x4+5−cot⁡2(x)+1cot⁡(x))(5x5log⁡(x)x5+9+2x5+9(log⁡(x)+3))log⁡(x)+4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)cot⁡(x)+12x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−12x5+9(log⁡(x)+2)x)x2x5+9log⁡(x)+768(25x9log⁡(x)2(x5+9)32+10x5(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)x5+9cot⁡(x)−10x4(log⁡(x)+3)log⁡(x)x5+9−50x4log⁡(x)2x5+9−30x4log⁡(x)x5+9−320x4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)2cot⁡(x)+8xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))(cot⁡2(x)+1)log⁡(x)2(2x4+5)cot⁡2(x)+8xx5+9(640x6cot⁡(x)−40x3(2x4+5)(cot⁡2(x)+1)+60x2(2x4+5)cot⁡(x)+(2x4+5)2(cot⁡2(x)+1)cot⁡(x))log⁡(x)2(2x4+5)2cot⁡(x)+2(40x32x4+5−cot⁡2(x)+1cot⁡(x))(5x5log⁡(x)x5+9+2x5+9(log⁡(x)+3))log⁡(x)+4x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)2(2x4+5)cot⁡(x)+12x5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−12x5+9(log⁡(x)+2)x)x2x5+9log⁡(x)2+32(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(5x5log⁡(x)x5+9−2xx5+9(40x32x4+5−cot⁡2(x)+1cot⁡(x))log⁡(x)+2x5+9log⁡(x)+6x5+9)x3(x5+9)log⁡(x)+96(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(5x5log⁡(x)x5+9−2xx5+9(40x32x4+5−cot⁡2(x)+1cot⁡(x))log⁡(x)+2x5+9log⁡(x)+6x5+9)x3(x5+9)log⁡(x)2+16(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(5x5log⁡(x)x5+9+2xx5+9(cot⁡2(x)+1)log⁡(x)cot⁡(x)+2x5+9log⁡(x)+6x5+9)x3(x5+9)log⁡(x)+48(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(5x5log⁡(x)x5+9+2xx5+9(cot⁡2(x)+1)log⁡(x)cot⁡(x)+2x5+9log⁡(x)+6x5+9)x3(x5+9)log⁡(x)2−512(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))x3x5+9−2304(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))x3x5+9log⁡(x)−3072(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))x3x5+9log⁡(x)2−(−5x5log⁡(x)x5+9+2xx5+9(40x3cot⁡(x)−(2x4+5)(cot⁡2(x)+1))log⁡(x)(2x4+5)cot⁡(x)−2x5+9(log⁡(x)+3))(5x5log⁡(x)x5+9−2xx5+9(40x32x4+5−cot⁡2(x)+1cot⁡(x))log⁡(x)+2x5+9log⁡(x)+6x5+9)(5x5log⁡(x)x5+9+2xx5+9(cot⁡2(x)+1)log⁡(x)cot⁡(x)+2x5+9log⁡(x)+6x5+9)x3(x5+9)32log⁡(x)2)4096(2x4+5)58log⁡(x)\frac{\sqrt[8]{\frac{x \sqrt{x^{5} + 9} \log{\left(x \right)}^{3}}{\cot{\left(x \right)}}} \left(- \frac{4800 x^{7} \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{\left(x^{5} + 9\right)^{\frac{5}{2}}} + \frac{48000 x^{6} \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{\left(2 x^{4} + 5\right) \left(x^{5} + 9\right)^{\frac{3}{2}}} - \frac{276480 x^{5} \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{\left(2 x^{4} + 5\right)^{2} \sqrt{x^{5} + 9}} - \frac{1280 x^{3} \left(\cot^{2}{\left(x \right)} + 1\right) \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{\left(x^{5} + 9\right)^{\frac{3}{2}} \cot{\left(x \right)}} + \frac{640 x^{3} \left(\frac{25 x^{9} \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{10 x^{5} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \cot{\left(x \right)}} - \frac{10 x^{4} \left(\log{\left(x \right)} + 3\right) \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{50 x^{4} \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} - \frac{30 x^{4} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{320 x^{4} \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot^{2}{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(640 x^{6} \cot{\left(x \right)} - 40 x^{3} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 60 x^{2} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + 2 \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \log{\left(x \right)} + \frac{4 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} + \frac{12 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - \frac{12 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 2\right)}{x}\right)}{\left(x^{5} + 9\right)^{\frac{3}{2}} \log{\left(x \right)}} + \frac{80 x^{2} \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - 2 x \sqrt{x^{5} + 9} \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \log{\left(x \right)} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right)}{\left(x^{5} + 9\right)^{2} \log{\left(x \right)}} + \frac{40 x^{2} \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\cot{\left(x \right)}} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right)}{\left(x^{5} + 9\right)^{2} \log{\left(x \right)}} + \frac{1280 x^{2} \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{\left(x^{5} + 9\right)^{\frac{3}{2}}} - \frac{3840 x^{2} \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{\left(x^{5} + 9\right)^{\frac{3}{2}} \log{\left(x \right)}} + \frac{19200 x^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \cot{\left(x \right)}} - \frac{9600 x^{2} \left(\frac{25 x^{9} \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{10 x^{5} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \cot{\left(x \right)}} - \frac{10 x^{4} \left(\log{\left(x \right)} + 3\right) \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{50 x^{4} \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} - \frac{30 x^{4} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{320 x^{4} \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot^{2}{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(640 x^{6} \cot{\left(x \right)} - 40 x^{3} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 60 x^{2} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + 2 \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \log{\left(x \right)} + \frac{4 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} + \frac{12 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - \frac{12 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 2\right)}{x}\right)}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \log{\left(x \right)}} - \frac{1200 x \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - 2 x \sqrt{x^{5} + 9} \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \log{\left(x \right)} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right)}{\left(2 x^{4} + 5\right) \left(x^{5} + 9\right) \log{\left(x \right)}} - \frac{640 x \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\cot{\left(x \right)}} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right)}{\left(2 x^{4} + 5\right) \left(x^{5} + 9\right) \log{\left(x \right)}} - \frac{11520 x \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9}} + \frac{57600 x \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \log{\left(x \right)}} - \frac{512 \left(\cot^{2}{\left(x \right)} + 1\right) \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{x \sqrt{x^{5} + 9}} + \frac{256 \left(\cot^{2}{\left(x \right)} + 1\right) \left(\frac{25 x^{9} \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{10 x^{5} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \cot{\left(x \right)}} - \frac{10 x^{4} \left(\log{\left(x \right)} + 3\right) \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{50 x^{4} \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} - \frac{30 x^{4} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{320 x^{4} \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot^{2}{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(640 x^{6} \cot{\left(x \right)} - 40 x^{3} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 60 x^{2} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + 2 \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \log{\left(x \right)} + \frac{4 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} + \frac{12 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - \frac{12 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 2\right)}{x}\right)}{x \sqrt{x^{5} + 9} \log{\left(x \right)} \cot{\left(x \right)}} - \frac{64 \left(- \frac{375 x^{13} \log{\left(x \right)}^{3}}{\left(x^{5} + 9\right)^{\frac{5}{2}}} - \frac{50 x^{9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right) \left(x^{5} + 9\right)^{\frac{3}{2}} \cot{\left(x \right)}} + \frac{50 x^{8} \left(\log{\left(x \right)} + 3\right) \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{700 x^{8} \log{\left(x \right)}^{3}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{300 x^{8} \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} - \frac{3200 x^{8} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right)^{2} \sqrt{x^{5} + 9} \cot{\left(x \right)}} + \frac{56320 x^{7} \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right)^{3} \cot{\left(x \right)}} + \frac{80 x^{5} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \cot^{2}{\left(x \right)}} + \frac{80 x^{5} \left(640 x^{6} \cot{\left(x \right)} - 40 x^{3} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 60 x^{2} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right)^{2} \sqrt{x^{5} + 9} \cot{\left(x \right)}} + \frac{120 x^{4} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \cot{\left(x \right)}} + \frac{120 x^{4} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \cot{\left(x \right)}} - \frac{2560 x^{4} \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right)^{2} \cot^{2}{\left(x \right)}} - \frac{2560 x^{4} \sqrt{x^{5} + 9} \left(640 x^{6} \cot{\left(x \right)} - 40 x^{3} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 60 x^{2} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right)^{3} \cot{\left(x \right)}} - \frac{120 x^{3} \left(\log{\left(x \right)} + 2\right) \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{80 x^{3} \left(\log{\left(x \right)} + 3\right) \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} - \frac{400 x^{3} \log{\left(x \right)}^{3}}{\sqrt{x^{5} + 9}} - \frac{540 x^{3} \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} - \frac{120 x^{3} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{80 x^{3} \left(- \frac{25 x^{9} \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{10 x^{4} \left(\log{\left(x \right)} + 3\right) \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{50 x^{4} \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} + \frac{30 x^{4} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{12 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 2\right)}{x}\right) \log{\left(x \right)}}{2 x^{4} + 5} - \frac{3200 x^{3} \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} - \frac{3840 x^{3} \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + \frac{48 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right) \cot^{3}{\left(x \right)}} - \frac{32 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} + \frac{64 x \sqrt{x^{5} + 9} \left(\cot^{2}{\left(x \right)} + 1\right) \left(640 x^{6} \cot{\left(x \right)} - 40 x^{3} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 60 x^{2} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right)^{2} \cot^{2}{\left(x \right)}} + \frac{16 x \sqrt{x^{5} + 9} \left(15360 x^{9} \cot{\left(x \right)} - 1920 x^{6} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 5760 x^{5} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + 120 x^{3} \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)} - 180 x^{2} \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) + 120 x \left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)} - \left(2 x^{4} + 5\right)^{3} \left(\cot^{2}{\left(x \right)} + 1\right)^{2} - 2 \left(2 x^{4} + 5\right)^{3} \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)}\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right)^{3} \cot{\left(x \right)}} + 2 \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \left(- \frac{25 x^{9} \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{10 x^{4} \left(\log{\left(x \right)} + 3\right) \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{50 x^{4} \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} + \frac{30 x^{4} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{12 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 2\right)}{x}\right) \log{\left(x \right)} + 8 \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(- \frac{960 x^{6}}{\left(2 x^{4} + 5\right)^{2}} + \frac{40 x^{3} \left(\cot^{2}{\left(x \right)} + 1\right)}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} + \frac{60 x^{2}}{2 x^{4} + 5} - \frac{\left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot^{2}{\left(x \right)}} + \cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{2} - \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right) \left(- \frac{25 x^{9} \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{10 x^{4} \left(\log{\left(x \right)} + 3\right) \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{50 x^{4} \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} + \frac{30 x^{4} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{12 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 2\right)}{x}\right) \log{\left(x \right)}}{\cot{\left(x \right)}} + \frac{32 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right) \cot^{2}{\left(x \right)}} + \frac{96 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot^{2}{\left(x \right)}} + \frac{32 \sqrt{x^{5} + 9} \left(640 x^{6} \cot{\left(x \right)} - 40 x^{3} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 60 x^{2} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right) \log{\left(x \right)}^{3}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + \frac{96 \sqrt{x^{5} + 9} \left(640 x^{6} \cot{\left(x \right)} - 40 x^{3} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 60 x^{2} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + \frac{24 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{x \left(2 x^{4} + 5\right) \cot{\left(x \right)}} + \frac{48 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{x \left(2 x^{4} + 5\right) \cot{\left(x \right)}} + \frac{24 \sqrt{x^{5} + 9} \left(\log{\left(x \right)}^{2} - 2\right)}{x^{2}}\right)}{x \sqrt{x^{5} + 9} \log{\left(x \right)}^{2}} + \frac{32 \left(\cot^{2}{\left(x \right)} + 1\right) \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - 2 x \sqrt{x^{5} + 9} \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \log{\left(x \right)} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right)}{x^{2} \left(x^{5} + 9\right) \log{\left(x \right)} \cot{\left(x \right)}} + \frac{16 \left(\cot^{2}{\left(x \right)} + 1\right) \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\cot{\left(x \right)}} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right)}{x^{2} \left(x^{5} + 9\right) \log{\left(x \right)} \cot{\left(x \right)}} + \frac{8 \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(\frac{25 x^{9} \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{400 x^{8} \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9}} + \frac{10 x^{5} \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} - \frac{10 x^{5} \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9} \cot{\left(x \right)}} - \frac{60 x^{4} \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} - \frac{60 x^{4} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{160 x^{3} \sqrt{x^{5} + 9} \log{\left(x \right)}^{2}}{2 x^{4} + 5} + \frac{480 x^{3} \sqrt{x^{5} + 9} \log{\left(x \right)}}{2 x^{4} + 5} + 8 x \sqrt{x^{5} + 9} \left(- \frac{960 x^{6}}{\left(2 x^{4} + 5\right)^{2}} + \frac{40 x^{3} \left(\cot^{2}{\left(x \right)} + 1\right)}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} + \frac{60 x^{2}}{2 x^{4} + 5} - \frac{\left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot^{2}{\left(x \right)}} + \cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{2} + 4 \sqrt{x^{5} + 9} \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \log{\left(x \right)}^{2} + 12 \sqrt{x^{5} + 9} \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \log{\left(x \right)} - \frac{4 \sqrt{x^{5} + 9} \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{2}}{\cot{\left(x \right)}} - \frac{12 \sqrt{x^{5} + 9} \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\cot{\left(x \right)}} - \frac{12 \sqrt{x^{5} + 9} \log{\left(x \right)}}{x} - \frac{24 \sqrt{x^{5} + 9}}{x}\right)}{x^{2} \left(x^{5} + 9\right) \log{\left(x \right)}^{2}} - \frac{8 \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - 2 x \sqrt{x^{5} + 9} \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \log{\left(x \right)} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right) \left(\frac{25 x^{9} \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{10 x^{5} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \cot{\left(x \right)}} - \frac{10 x^{4} \left(\log{\left(x \right)} + 3\right) \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{50 x^{4} \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} - \frac{30 x^{4} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{320 x^{4} \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot^{2}{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(640 x^{6} \cot{\left(x \right)} - 40 x^{3} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 60 x^{2} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + 2 \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \log{\left(x \right)} + \frac{4 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} + \frac{12 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - \frac{12 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 2\right)}{x}\right)}{x^{2} \left(x^{5} + 9\right) \log{\left(x \right)}^{2}} - \frac{8 \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\cot{\left(x \right)}} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right) \left(\frac{25 x^{9} \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{10 x^{5} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \cot{\left(x \right)}} - \frac{10 x^{4} \left(\log{\left(x \right)} + 3\right) \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{50 x^{4} \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} - \frac{30 x^{4} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{320 x^{4} \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot^{2}{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(640 x^{6} \cot{\left(x \right)} - 40 x^{3} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 60 x^{2} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + 2 \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \log{\left(x \right)} + \frac{4 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} + \frac{12 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - \frac{12 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 2\right)}{x}\right)}{x^{2} \left(x^{5} + 9\right) \log{\left(x \right)}^{2}} - \frac{512 \left(\cot^{2}{\left(x \right)} + 1\right) \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{x^{2} \sqrt{x^{5} + 9} \cot{\left(x \right)}} - \frac{1536 \left(\cot^{2}{\left(x \right)} + 1\right) \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{x^{2} \sqrt{x^{5} + 9} \log{\left(x \right)} \cot{\left(x \right)}} + \frac{256 \left(\frac{25 x^{9} \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{10 x^{5} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \cot{\left(x \right)}} - \frac{10 x^{4} \left(\log{\left(x \right)} + 3\right) \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{50 x^{4} \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} - \frac{30 x^{4} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{320 x^{4} \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot^{2}{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(640 x^{6} \cot{\left(x \right)} - 40 x^{3} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 60 x^{2} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + 2 \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \log{\left(x \right)} + \frac{4 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} + \frac{12 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - \frac{12 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 2\right)}{x}\right)}{x^{2} \sqrt{x^{5} + 9} \log{\left(x \right)}} + \frac{768 \left(\frac{25 x^{9} \log{\left(x \right)}^{2}}{\left(x^{5} + 9\right)^{\frac{3}{2}}} + \frac{10 x^{5} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \sqrt{x^{5} + 9} \cot{\left(x \right)}} - \frac{10 x^{4} \left(\log{\left(x \right)} + 3\right) \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{50 x^{4} \log{\left(x \right)}^{2}}{\sqrt{x^{5} + 9}} - \frac{30 x^{4} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - \frac{320 x^{4} \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot^{2}{\left(x \right)}} + \frac{8 x \sqrt{x^{5} + 9} \left(640 x^{6} \cot{\left(x \right)} - 40 x^{3} \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right) + 60 x^{2} \left(2 x^{4} + 5\right) \cot{\left(x \right)} + \left(2 x^{4} + 5\right)^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right)^{2} \cot{\left(x \right)}} + 2 \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \log{\left(x \right)} + \frac{4 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}^{2}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} + \frac{12 \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - \frac{12 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 2\right)}{x}\right)}{x^{2} \sqrt{x^{5} + 9} \log{\left(x \right)}^{2}} + \frac{32 \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - 2 x \sqrt{x^{5} + 9} \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \log{\left(x \right)} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right)}{x^{3} \left(x^{5} + 9\right) \log{\left(x \right)}} + \frac{96 \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - 2 x \sqrt{x^{5} + 9} \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \log{\left(x \right)} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right)}{x^{3} \left(x^{5} + 9\right) \log{\left(x \right)}^{2}} + \frac{16 \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\cot{\left(x \right)}} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right)}{x^{3} \left(x^{5} + 9\right) \log{\left(x \right)}} + \frac{48 \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\cot{\left(x \right)}} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right)}{x^{3} \left(x^{5} + 9\right) \log{\left(x \right)}^{2}} - \frac{512 \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{x^{3} \sqrt{x^{5} + 9}} - \frac{2304 \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{x^{3} \sqrt{x^{5} + 9} \log{\left(x \right)}} - \frac{3072 \left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right)}{x^{3} \sqrt{x^{5} + 9} \log{\left(x \right)}^{2}} - \frac{\left(- \frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(40 x^{3} \cot{\left(x \right)} - \left(2 x^{4} + 5\right) \left(\cot^{2}{\left(x \right)} + 1\right)\right) \log{\left(x \right)}}{\left(2 x^{4} + 5\right) \cot{\left(x \right)}} - 2 \sqrt{x^{5} + 9} \left(\log{\left(x \right)} + 3\right)\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} - 2 x \sqrt{x^{5} + 9} \left(\frac{40 x^{3}}{2 x^{4} + 5} - \frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}}\right) \log{\left(x \right)} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right) \left(\frac{5 x^{5} \log{\left(x \right)}}{\sqrt{x^{5} + 9}} + \frac{2 x \sqrt{x^{5} + 9} \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\cot{\left(x \right)}} + 2 \sqrt{x^{5} + 9} \log{\left(x \right)} + 6 \sqrt{x^{5} + 9}\right)}{x^{3} \left(x^{5} + 9\right)^{\frac{3}{2}} \log{\left(x \right)}^{2}}\right)}{4096 \left(2 x^{4} + 5\right)^{\frac{5}{8}} \log{\left(x \right)}}
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Gráfico
Derivada de ((xln^3(x)sqrt(x^5+9))/(ctgx(2x^4+5)^5))^(1/8)
    © Sr Examen – Калькулятор