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¿cómo vas a descomponer esta expresión en fracciones?:
1/(3,94436∙〖10〗^(-7))
((3*c+1)/(c-1)+c)/(c+1)
-1/(5*x^5)
(49*b/a-25*a/b)/(7*a+5*b)
Factorizar el polinomio:
y^4-25
y^5-y^3-y+1
y^5+y+1
-y^3+y^2-1
Descomponer al cuadrado:
-y^4-8*y^2-8
-y^4+9*y^2-3
-y^4+8*y^2+4
-y^4-8*y^2-3
Expresiones idénticas
tan(siete *x)^ dos *(veintiuno + veintiuno *tan(siete *x)^ dos)/log(tres *x+ dos)- tres *tan(siete *x)^ tres /((tres *x+ dos)*log(tres *x+ dos)^ dos)
tangente de (7 multiplicar por x) al cuadrado multiplicar por (21 más 21 multiplicar por tangente de (7 multiplicar por x) al cuadrado ) dividir por logaritmo de (3 multiplicar por x más 2) menos 3 multiplicar por tangente de (7 multiplicar por x) al cubo dividir por ((3 multiplicar por x más 2) multiplicar por logaritmo de (3 multiplicar por x más 2) al cuadrado )
tangente de (siete multiplicar por x) en el grado dos multiplicar por (veintiuno más veintiuno multiplicar por tangente de (siete multiplicar por x) en el grado dos) dividir por logaritmo de (tres multiplicar por x más dos) menos tres multiplicar por tangente de (siete multiplicar por x) en el grado tres dividir por ((tres multiplicar por x más dos) multiplicar por logaritmo de (tres multiplicar por x más dos) en el grado dos)
tan(7*x)2*(21+21*tan(7*x)2)/log(3*x+2)-3*tan(7*x)3/((3*x+2)*log(3*x+2)2)
tan7*x2*21+21*tan7*x2/log3*x+2-3*tan7*x3/3*x+2*log3*x+22
tan(7*x)²*(21+21*tan(7*x)²)/log(3*x+2)-3*tan(7*x)³/((3*x+2)*log(3*x+2)²)
tan(7*x) en el grado 2*(21+21*tan(7*x) en el grado 2)/log(3*x+2)-3*tan(7*x) en el grado 3/((3*x+2)*log(3*x+2) en el grado 2)
tan(7x)^2(21+21tan(7x)^2)/log(3x+2)-3tan(7x)^3/((3x+2)log(3x+2)^2)
tan(7x)2(21+21tan(7x)2)/log(3x+2)-3tan(7x)3/((3x+2)log(3x+2)2)
tan7x221+21tan7x2/log3x+2-3tan7x3/3x+2log3x+22
tan7x^221+21tan7x^2/log3x+2-3tan7x^3/3x+2log3x+2^2
tan(7*x)^2*(21+21*tan(7*x)^2) dividir por log(3*x+2)-3*tan(7*x)^3 dividir por ((3*x+2)*log(3*x+2)^2)
Expresiones semejantes
tan(7*x)^2*(21+21*tan(7*x)^2)/log(3*x+2)-3*tan(7*x)^3/((3*x+2)*log(3*x-2)^2)
tan(7*x)^2*(21+21*tan(7*x)^2)/log(3*x-2)-3*tan(7*x)^3/((3*x+2)*log(3*x+2)^2)
tan(7*x)^2*(21+21*tan(7*x)^2)/log(3*x+2)+3*tan(7*x)^3/((3*x+2)*log(3*x+2)^2)
tan(7*x)^2*(21+21*tan(7*x)^2)/log(3*x+2)-3*tan(7*x)^3/((3*x-2)*log(3*x+2)^2)
tan(7*x)^2*(21-21*tan(7*x)^2)/log(3*x+2)-3*tan(7*x)^3/((3*x+2)*log(3*x+2)^2)
Expresiones con funciones
Tangente tan
tan(pi/8)/(2-2*tan(pi/8)^(2))
tan(pi/(2-a))+2*(-cot(a))
tan(7^x/2)/(2*log(7))-1/(2*log(7)*tan(7^x/2))
tan(pi/(4+a))+tan(pi/(4-a))
tan(5*pi/(2-a))^2
Tangente tan
tan(pi/8)/(2-2*tan(pi/8)^(2))
tan(pi/(2-a))+2*(-cot(a))
tan(7^x/2)/(2*log(7))-1/(2*log(7)*tan(7^x/2))
tan(pi/(4+a))+tan(pi/(4-a))
tan(5*pi/(2-a))^2
Logaritmo log
log(x+9)/81-log(x)/81-1/(9*x)
log(x^2+1)/2-log(x+1)+atan(x)-1/(1+x)
log(x^2+2*x+2)/2-(5*atan((2*x+2)/2))/2+(x-2)/(4+4*x+2*x^2)
log(x^2+1)/(1+x^2)+2*x*atan(x)/(x^2+1)
log(x+1)/4-x/(2*x^2-2)-log(x-1)/4
Tangente tan
tan(pi/8)/(2-2*tan(pi/8)^(2))
tan(pi/(2-a))+2*(-cot(a))
tan(7^x/2)/(2*log(7))-1/(2*log(7)*tan(7^x/2))
tan(pi/(4+a))+tan(pi/(4-a))
tan(5*pi/(2-a))^2
Logaritmo log
log(x+9)/81-log(x)/81-1/(9*x)
log(x^2+1)/2-log(x+1)+atan(x)-1/(1+x)
log(x^2+2*x+2)/2-(5*atan((2*x+2)/2))/2+(x-2)/(4+4*x+2*x^2)
log(x^2+1)/(1+x^2)+2*x*atan(x)/(x^2+1)
log(x+1)/4-x/(2*x^2-2)-log(x-1)/4

Simplificación de expresiones/ Descomposición en fracciones simples/ tan(7*x)^2*(21+21*tan(7*x)^2)/log(3*x+2)-3*tan(7*x)^3/((3*x+2)*log(3*x+2)^2)

¿Cómo vas a descomponer esta tan(7x)^2(21+21tan(7x)^2)/log(3x+2)-3tan(7x)^3/((3x+2)log(3x+2)^2) expresión en fracciones?

Solución

Ha introducido [src]

   2      /           2     \              3           
tan (7*x)*\21 + 21*tan (7*x)/         3*tan (7*x)      
----------------------------- - -----------------------
         log(3*x + 2)                        2         
                                (3*x + 2)*log (3*x + 2)

\frac{\left(21 \tan^{2}{\left(7 x \right)} + 21\right) \tan^{2}{\left(7 x \right)}}{\log{\left(3 x + 2 \right)}} - \frac{3 \tan^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}}

(tan(7*x)^2*(21 + 21*tan(7*x)^2))/log(3*x + 2) - 3*tan(7*x)^3/((3*x + 2)*log(3*x + 2)^2)

Simplificación general [src]

     2      /            7*(2 + 3*x)*log(2 + 3*x)\
3*tan (7*x)*|-tan(7*x) + ------------------------|
            |                      2             |
            \                   cos (7*x)        /
--------------------------------------------------
                          2                       
             (2 + 3*x)*log (2 + 3*x)

\frac{3 \left(\frac{7 \left(3 x + 2\right) \log{\left(3 x + 2 \right)}}{\cos^{2}{\left(7 x \right)}} - \tan{\left(7 x \right)}\right) \tan^{2}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}}

3*tan(7*x)^2*(-tan(7*x) + 7*(2 + 3*x)*log(2 + 3*x)/cos(7*x)^2)/((2 + 3*x)*log(2 + 3*x)^2)

Respuesta numérica [src]

tan(7*x)^2*(21.0 + 21.0*tan(7*x)^2)/log(3*x + 2) - 3.0*tan(7*x)^3/((2.0 + 3.0*x)*log(3*x + 2)^2)

tan(7*x)^2*(21.0 + 21.0*tan(7*x)^2)/log(3*x + 2) - 3.0*tan(7*x)^3/((2.0 + 3.0*x)*log(3*x + 2)^2)

Unión de expresiones racionales [src]

     2      /              /       2     \                       \
3*tan (7*x)*\-tan(7*x) + 7*\1 + tan (7*x)/*(2 + 3*x)*log(2 + 3*x)/
------------------------------------------------------------------
                                  2                               
                     (2 + 3*x)*log (2 + 3*x)

\frac{3 \left(7 \left(3 x + 2\right) \left(\tan^{2}{\left(7 x \right)} + 1\right) \log{\left(3 x + 2 \right)} - \tan{\left(7 x \right)}\right) \tan^{2}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}}

3*tan(7*x)^2*(-tan(7*x) + 7*(1 + tan(7*x)^2)*(2 + 3*x)*log(2 + 3*x))/((2 + 3*x)*log(2 + 3*x)^2)

Denominador racional [src]

       3                           2             2              2             4                2             2                2             4     
- 3*tan (7*x)*log(2 + 3*x) + 42*log (2 + 3*x)*tan (7*x) + 42*log (2 + 3*x)*tan (7*x) + 63*x*log (2 + 3*x)*tan (7*x) + 63*x*log (2 + 3*x)*tan (7*x)
--------------------------------------------------------------------------------------------------------------------------------------------------
                                                                          3                                                                       
                                                             (2 + 3*x)*log (2 + 3*x)

\frac{63 x \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(7 x \right)} + 63 x \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(7 x \right)} + 42 \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(7 x \right)} + 42 \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(7 x \right)} - 3 \log{\left(3 x + 2 \right)} \tan^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{3}}

(-3*tan(7*x)^3*log(2 + 3*x) + 42*log(2 + 3*x)^2*tan(7*x)^2 + 42*log(2 + 3*x)^2*tan(7*x)^4 + 63*x*log(2 + 3*x)^2*tan(7*x)^2 + 63*x*log(2 + 3*x)^2*tan(7*x)^4)/((2 + 3*x)*log(2 + 3*x)^3)

Combinatoria [src]

     2      /                                    2                                                 2                  \
3*tan (7*x)*\-tan(7*x) + 14*log(2 + 3*x) + 14*tan (7*x)*log(2 + 3*x) + 21*x*log(2 + 3*x) + 21*x*tan (7*x)*log(2 + 3*x)/
-----------------------------------------------------------------------------------------------------------------------
                                                             2                                                         
                                                (2 + 3*x)*log (2 + 3*x)

\frac{3 \left(21 x \log{\left(3 x + 2 \right)} \tan^{2}{\left(7 x \right)} + 21 x \log{\left(3 x + 2 \right)} + 14 \log{\left(3 x + 2 \right)} \tan^{2}{\left(7 x \right)} + 14 \log{\left(3 x + 2 \right)} - \tan{\left(7 x \right)}\right) \tan^{2}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}}

3*tan(7*x)^2*(-tan(7*x) + 14*log(2 + 3*x) + 14*tan(7*x)^2*log(2 + 3*x) + 21*x*log(2 + 3*x) + 21*x*tan(7*x)^2*log(2 + 3*x))/((2 + 3*x)*log(2 + 3*x)^2)

Denominador común [src]

       3              2                           4                             2                             4                  
- 3*tan (7*x) + 42*tan (7*x)*log(2 + 3*x) + 42*tan (7*x)*log(2 + 3*x) + 63*x*tan (7*x)*log(2 + 3*x) + 63*x*tan (7*x)*log(2 + 3*x)
---------------------------------------------------------------------------------------------------------------------------------
                                                    2                   2                                                        
                                               2*log (2 + 3*x) + 3*x*log (2 + 3*x)

\frac{63 x \log{\left(3 x + 2 \right)} \tan^{4}{\left(7 x \right)} + 63 x \log{\left(3 x + 2 \right)} \tan^{2}{\left(7 x \right)} + 42 \log{\left(3 x + 2 \right)} \tan^{4}{\left(7 x \right)} + 42 \log{\left(3 x + 2 \right)} \tan^{2}{\left(7 x \right)} - 3 \tan^{3}{\left(7 x \right)}}{3 x \log{\left(3 x + 2 \right)}^{2} + 2 \log{\left(3 x + 2 \right)}^{2}}

(-3*tan(7*x)^3 + 42*tan(7*x)^2*log(2 + 3*x) + 42*tan(7*x)^4*log(2 + 3*x) + 63*x*tan(7*x)^2*log(2 + 3*x) + 63*x*tan(7*x)^4*log(2 + 3*x))/(2*log(2 + 3*x)^2 + 3*x*log(2 + 3*x)^2)

Abrimos la expresión [src]

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                                                                                                                                                                                                          11                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         7                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          15                                                                                                                                                                                                                                                                                                                                                                                                      8                                                                                                                                                                                    4                                                                                                                                                                                                                                                                                       26                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          3                                                                                                                                                                                                                                                                                                                                                                                                      12                                                                                                                                                                                                                                                                                                                                                                                                      19                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        21                                                                                                                                                                                                                                                                                                                                                                                                      14                                                                                                                                                                                                                                                                                       28                                                                                                                                                                                                                                                                                        2                                                                                                                                                                                                                                                                                                                                                                                                      17                                                                                                                                                                                                                                                                                                                                                                                                       10                                                                                                                                                                                                                                                                                                                                                                                                      5                                                                                                                                                                                                                                                                                                                                                                                                       6                                                                                                                                                                                                                                                                                        4                                                                                                                                                                                                                                                                                                                                                                                           24                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         13                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          9                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           20                                                                                                                                                                                                                                                                                                                                                                                          8                                                                                                                                                                                                                                                                                                                                                                                           16                                                                                                                                                                                                                                                                                                                                                   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                                                                                                                                                                                      105279048*tan  (x)                                                                                                                                                                                                                                                                                                                                                                          34549704*tan  (x)                                                                                                                                                                                                                                                                                                                                                                           34315092*tan  (x)                                                                                                                                                                                                                                                                                                                                                                            1008420*tan (x)                                                                                                                                                                                                                                                                                                                                                                             963732*tan  (x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            263718*tan  (x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             86436*tan (x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              41076*tan  (x)                                                                                                                                                                                                                                                                                                                                                                                          31164*tan (x)                                                                                                                                                                        10290*tan (x)                                                                                                                                                                                                                                                                            1764*tan  (x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               1029*tan (x)                                                                                                                                                                                                                                                                                                                                                                                            882*tan  (x)                                                                                                                                                                                                                                                                                                                                                                                            189*tan  (x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                3*tan  (x)                                                                                                                                                                                                                                                                                                                                                                                             21*tan  (x)                                                                                                                                                                                                                                                                              21*tan  (x)                                                                                                                                                                                                                                                                             1029*tan (x)                                                                                                                                                                                                                                                                                                                                                                                           4284*tan  (x)                                                                                                                                                                                                                                                                                                                                                                                           10731*tan  (x)                                                                                                                                                                                                                                                                                                                                                                                          15435*tan (x)                                                                                                                                                                                                                                                                                                                                                                                           31899*tan (x)                                                                                                                                                                                                                                                                            50421*tan (x)                                                                                                                                                                                                                                                                                                                                                                               58506*tan  (x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            152586*tan  (x)                                                                                                                                                                                              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           2                           24                           4                             8                             20                              12                              16                               
  - 5013288*tan  (x)*log(3*x + 2) - 1645224*tan  (x)*log(3*x + 2) - 1634052*tan  (x)*log(3*x + 2) - 48020*tan  (x)*log(3*x + 2) - 45892*tan (x)*log(3*x + 2) - 84*tan (x)*log(3*x + 2) + 2401*tan  (x)*log(3*x + 2) + 2786*tan (x)*log(3*x + 2) + 388815*tan (x)*log(3*x + 2) + 388962*tan  (x)*log(3*x + 2) + 3795932*tan  (x)*log(3*x + 2) + 3811759*tan  (x)*log(3*x + 2) + log(3*x + 2)   - 5013288*tan  (x)*log(3*x + 2) - 1645224*tan  (x)*log(3*x + 2) - 1634052*tan  (x)*log(3*x + 2) - 48020*tan  (x)*log(3*x + 2) - 45892*tan (x)*log(3*x + 2) - 84*tan (x)*log(3*x + 2) + 2401*tan  (x)*log(3*x + 2) + 2786*tan (x)*log(3*x + 2) + 388815*tan (x)*log(3*x + 2) + 388962*tan  (x)*log(3*x + 2) + 3795932*tan  (x)*log(3*x + 2) + 3811759*tan  (x)*log(3*x + 2) + log(3*x + 2)   - 5013288*tan  (x)*log(3*x + 2) - 1645224*tan  (x)*log(3*x + 2) - 1634052*tan  (x)*log(3*x + 2) - 48020*tan  (x)*log(3*x + 2) - 45892*tan (x)*log(3*x + 2) - 84*tan (x)*log(3*x + 2) + 2401*tan  (x)*log(3*x + 2) + 2786*tan (x)*log(3*x + 2) + 388815*tan (x)*log(3*x + 2) + 388962*tan  (x)*log(3*x + 2) + 3795932*tan  (x)*log(3*x + 2) + 3811759*tan  (x)*log(3*x + 2) + log(3*x + 2)   - 5013288*tan  (x)*log(3*x + 2) - 1645224*tan  (x)*log(3*x + 2) - 1634052*tan  (x)*log(3*x + 2) - 48020*tan  (x)*log(3*x + 2) - 45892*tan (x)*log(3*x + 2) - 84*tan (x)*log(3*x + 2) + 2401*tan  (x)*log(3*x + 2) + 2786*tan (x)*log(3*x + 2) + 388815*tan (x)*log(3*x + 2) + 388962*tan  (x)*log(3*x + 2) + 3795932*tan  (x)*log(3*x + 2) + 3811759*tan  (x)*log(3*x + 2) + log(3*x + 2)   - 5013288*tan  (x)*log(3*x + 2) - 1645224*tan  (x)*log(3*x + 2) - 1634052*tan  (x)*log(3*x + 2) - 48020*tan  (x)*log(3*x + 2) - 45892*tan (x)*log(3*x + 2) - 84*tan (x)*log(3*x + 2) + 2401*tan  (x)*log(3*x + 2) + 2786*tan (x)*log(3*x + 2) + 388815*tan (x)*log(3*x + 2) + 388962*tan  (x)*log(3*x + 2) + 3795932*tan  (x)*log(3*x + 2) + 3811759*tan  (x)*log(3*x + 2) + log(3*x + 2)   2*log (3*x + 2) - 175812*log (3*x + 2)*tan  (x) - 57624*log (3*x + 2)*tan  (x) - 27384*log (3*x + 2)*tan (x) - 686*log (3*x + 2)*tan  (x) - 126*log (3*x + 2)*tan (x) + 3*x*log (3*x + 2) + 2856*log (3*x + 2)*tan (x) + 10290*log (3*x + 2)*tan  (x) + 101724*log (3*x + 2)*tan (x) + 147784*log (3*x + 2)*tan  (x) - 263718*x*log (3*x + 2)*tan  (x) - 86436*x*log (3*x + 2)*tan  (x) - 41076*x*log (3*x + 2)*tan (x) - 1029*x*log (3*x + 2)*tan  (x) - 189*x*log (3*x + 2)*tan (x) + 4284*x*log (3*x + 2)*tan (x) + 15435*x*log (3*x + 2)*tan  (x) + 152586*x*log (3*x + 2)*tan (x) + 221676*x*log (3*x + 2)*tan  (x)   2*log (3*x + 2) - 175812*log (3*x + 2)*tan  (x) - 57624*log (3*x + 2)*tan  (x) - 27384*log (3*x + 2)*tan (x) - 686*log (3*x + 2)*tan  (x) - 126*log (3*x + 2)*tan (x) + 3*x*log (3*x + 2) + 2856*log (3*x + 2)*tan (x) + 10290*log (3*x + 2)*tan  (x) + 101724*log (3*x + 2)*tan (x) + 147784*log (3*x + 2)*tan  (x) - 263718*x*log (3*x + 2)*tan  (x) - 86436*x*log (3*x + 2)*tan  (x) - 41076*x*log (3*x + 2)*tan (x) - 1029*x*log (3*x + 2)*tan  (x) - 189*x*log (3*x + 2)*tan (x) + 4284*x*log (3*x + 2)*tan (x) + 15435*x*log (3*x + 2)*tan  (x) + 152586*x*log (3*x + 2)*tan (x) + 221676*x*log (3*x + 2)*tan  (x)   2*log (3*x + 2) - 175812*log (3*x + 2)*tan  (x) - 57624*log (3*x + 2)*tan  (x) - 27384*log (3*x + 2)*tan (x) - 686*log (3*x + 2)*tan  (x) - 126*log (3*x + 2)*tan (x) + 3*x*log (3*x + 2) + 2856*log (3*x + 2)*tan (x) + 10290*log (3*x + 2)*tan  (x) + 101724*log (3*x + 2)*tan (x) + 147784*log (3*x + 2)*tan  (x) - 263718*x*log (3*x + 2)*tan  (x) - 86436*x*log (3*x + 2)*tan  (x) - 41076*x*log (3*x + 2)*tan (x) - 1029*x*log (3*x + 2)*tan  (x) - 189*x*log (3*x + 2)*tan (x) + 4284*x*log (3*x + 2)*tan (x) + 15435*x*log (3*x + 2)*tan  (x) + 152586*x*log (3*x + 2)*tan (x) + 221676*x*log (3*x + 2)*tan  (x)   - 1484*tan (x)*log(3*x + 2) - 490*tan  (x)*log(3*x + 2) - 42*tan (x)*log(3*x + 2) + 49*tan  (x)*log(3*x + 2) + 511*tan (x)*log(3*x + 2) + 1519*tan (x)*log(3*x + 2) + log(3*x + 2)   - 1484*tan (x)*log(3*x + 2) - 490*tan  (x)*log(3*x + 2) - 42*tan (x)*log(3*x + 2) + 49*tan  (x)*log(3*x + 2) + 511*tan (x)*log(3*x + 2) + 1519*tan (x)*log(3*x + 2) + log(3*x + 2)   - 5013288*tan  (x)*log(3*x + 2) - 1645224*tan  (x)*log(3*x + 2) - 1634052*tan  (x)*log(3*x + 2) - 48020*tan  (x)*log(3*x + 2) - 45892*tan (x)*log(3*x + 2) - 84*tan (x)*log(3*x + 2) + 2401*tan  (x)*log(3*x + 2) + 2786*tan (x)*log(3*x + 2) + 388815*tan (x)*log(3*x + 2) + 388962*tan  (x)*log(3*x + 2) + 3795932*tan  (x)*log(3*x + 2) + 3811759*tan  (x)*log(3*x + 2) + log(3*x + 2)   2*log (3*x + 2) - 175812*log (3*x + 2)*tan  (x) - 57624*log (3*x + 2)*tan  (x) - 27384*log (3*x + 2)*tan (x) - 686*log (3*x + 2)*tan  (x) - 126*log (3*x + 2)*tan (x) + 3*x*log (3*x + 2) + 2856*log (3*x + 2)*tan (x) + 10290*log (3*x + 2)*tan  (x) + 101724*log (3*x + 2)*tan (x) + 147784*log (3*x + 2)*tan  (x) - 263718*x*log (3*x + 2)*tan  (x) - 86436*x*log (3*x + 2)*tan  (x) - 41076*x*log (3*x + 2)*tan (x) - 1029*x*log (3*x + 2)*tan  (x) - 189*x*log (3*x + 2)*tan (x) + 4284*x*log (3*x + 2)*tan (x) + 15435*x*log (3*x + 2)*tan  (x) + 152586*x*log (3*x + 2)*tan (x) + 221676*x*log (3*x + 2)*tan  (x)   - 1484*tan (x)*log(3*x + 2) - 490*tan  (x)*log(3*x + 2) - 42*tan (x)*log(3*x + 2) + 49*tan  (x)*log(3*x + 2) + 511*tan (x)*log(3*x + 2) + 1519*tan (x)*log(3*x + 2) + log(3*x + 2)   2*log (3*x + 2) - 175812*log (3*x + 2)*tan  (x) - 57624*log (3*x + 2)*tan  (x) - 27384*log (3*x + 2)*tan (x) - 686*log (3*x + 2)*tan  (x) - 126*log (3*x + 2)*tan (x) + 3*x*log (3*x + 2) + 2856*log (3*x + 2)*tan (x) + 10290*log (3*x + 2)*tan  (x) + 101724*log (3*x + 2)*tan (x) + 147784*log (3*x + 2)*tan  (x) - 263718*x*log (3*x + 2)*tan  (x) - 86436*x*log (3*x + 2)*tan  (x) - 41076*x*log (3*x + 2)*tan (x) - 1029*x*log (3*x + 2)*tan  (x) - 189*x*log (3*x + 2)*tan (x) + 4284*x*log (3*x + 2)*tan (x) + 15435*x*log (3*x + 2)*tan  (x) + 152586*x*log (3*x + 2)*tan (x) + 221676*x*log (3*x + 2)*tan  (x)   2*log (3*x + 2) - 175812*log (3*x + 2)*tan  (x) - 57624*log (3*x + 2)*tan  (x) - 27384*log (3*x + 2)*tan (x) - 686*log (3*x + 2)*tan  (x) - 126*log (3*x + 2)*tan (x) + 3*x*log (3*x + 2) + 2856*log (3*x + 2)*tan (x) + 10290*log (3*x + 2)*tan  (x) + 101724*log (3*x + 2)*tan (x) + 147784*log (3*x + 2)*tan  (x) - 263718*x*log (3*x + 2)*tan  (x) - 86436*x*log (3*x + 2)*tan  (x) - 41076*x*log (3*x + 2)*tan (x) - 1029*x*log (3*x + 2)*tan  (x) - 189*x*log (3*x + 2)*tan (x) + 4284*x*log (3*x + 2)*tan (x) + 15435*x*log (3*x + 2)*tan  (x) + 152586*x*log (3*x + 2)*tan (x) + 221676*x*log (3*x + 2)*tan  (x)   - 1484*tan (x)*log(3*x + 2) - 490*tan  (x)*log(3*x + 2) - 42*tan (x)*log(3*x + 2) + 49*tan  (x)*log(3*x + 2) + 511*tan (x)*log(3*x + 2) + 1519*tan (x)*log(3*x + 2) + log(3*x + 2)   - 5013288*tan  (x)*log(3*x + 2) - 1645224*tan  (x)*log(3*x + 2) - 1634052*tan  (x)*log(3*x + 2) - 48020*tan  (x)*log(3*x + 2) - 45892*tan (x)*log(3*x + 2) - 84*tan (x)*log(3*x + 2) + 2401*tan  (x)*log(3*x + 2) + 2786*tan (x)*log(3*x + 2) + 388815*tan (x)*log(3*x + 2) + 388962*tan  (x)*log(3*x + 2) + 3795932*tan  (x)*log(3*x + 2) + 3811759*tan  (x)*log(3*x + 2) + log(3*x + 2)   - 1484*tan (x)*log(3*x + 2) - 490*tan  (x)*log(3*x + 2) - 42*tan (x)*log(3*x + 2) + 49*tan  (x)*log(3*x + 2) + 511*tan (x)*log(3*x + 2) + 1519*tan (x)*log(3*x + 2) + log(3*x + 2)   2*log (3*x + 2) - 175812*log (3*x + 2)*tan  (x) - 57624*log (3*x + 2)*tan  (x) - 27384*log (3*x + 2)*tan (x) - 686*log (3*x + 2)*tan  (x) - 126*log (3*x + 2)*tan (x) + 3*x*log (3*x + 2) + 2856*log (3*x + 2)*tan (x) + 10290*log (3*x + 2)*tan  (x) + 101724*log (3*x + 2)*tan (x) + 147784*log (3*x + 2)*tan  (x) - 263718*x*log (3*x + 2)*tan  (x) - 86436*x*log (3*x + 2)*tan  (x) - 41076*x*log (3*x + 2)*tan (x) - 1029*x*log (3*x + 2)*tan  (x) - 189*x*log (3*x + 2)*tan (x) + 4284*x*log (3*x + 2)*tan (x) + 15435*x*log (3*x + 2)*tan  (x) + 152586*x*log (3*x + 2)*tan (x) + 221676*x*log (3*x + 2)*tan  (x)   - 1484*tan (x)*log(3*x + 2) - 490*tan  (x)*log(3*x + 2) - 42*tan (x)*log(3*x + 2) + 49*tan  (x)*log(3*x + 2) + 511*tan (x)*log(3*x + 2) + 1519*tan (x)*log(3*x + 2) + log(3*x + 2)   2*log (3*x + 2) - 175812*log (3*x + 2)*tan  (x) - 57624*log (3*x + 2)*tan  (x) - 27384*log (3*x + 2)*tan (x) - 686*log (3*x + 2)*tan  (x) - 126*log (3*x + 2)*tan (x) + 3*x*log (3*x + 2) + 2856*log (3*x + 2)*tan (x) + 10290*log (3*x + 2)*tan  (x) + 101724*log (3*x + 2)*tan (x) + 147784*log (3*x + 2)*tan  (x) - 263718*x*log (3*x + 2)*tan  (x) - 86436*x*log (3*x + 2)*tan  (x) - 41076*x*log (3*x + 2)*tan (x) - 1029*x*log (3*x + 2)*tan  (x) - 189*x*log (3*x + 2)*tan (x) + 4284*x*log (3*x + 2)*tan (x) + 15435*x*log (3*x + 2)*tan  (x) + 152586*x*log (3*x + 2)*tan (x) + 221676*x*log (3*x + 2)*tan  (x)   - 1484*tan (x)*log(3*x + 2) - 490*tan  (x)*log(3*x + 2) - 42*tan (x)*log(3*x + 2) + 49*tan  (x)*log(3*x + 2) + 511*tan (x)*log(3*x + 2) + 1519*tan (x)*log(3*x + 2) + log(3*x + 2)   - 5013288*tan  (x)*log(3*x + 2) - 1645224*tan  (x)*log(3*x + 2) - 1634052*tan  (x)*log(3*x + 2) - 48020*tan  (x)*log(3*x + 2) - 45892*tan (x)*log(3*x + 2) - 84*tan (x)*log(3*x + 2) + 2401*tan  (x)*log(3*x + 2) + 2786*tan (x)*log(3*x + 2) + 388815*tan (x)*log(3*x + 2) + 388962*tan  (x)*log(3*x + 2) + 3795932*tan  (x)*log(3*x + 2) + 3811759*tan  (x)*log(3*x + 2) + log(3*x + 2)   - 5013288*tan  (x)*log(3*x + 2) - 1645224*tan  (x)*log(3*x + 2) - 1634052*tan  (x)*log(3*x + 2) - 48020*tan  (x)*log(3*x + 2) - 45892*tan (x)*log(3*x + 2) - 84*tan (x)*log(3*x + 2) + 2401*tan  (x)*log(3*x + 2) + 2786*tan (x)*log(3*x + 2) + 388815*tan (x)*log(3*x + 2) + 388962*tan  (x)*log(3*x + 2) + 3795932*tan  (x)*log(3*x + 2) + 3811759*tan  (x)*log(3*x + 2) + log(3*x + 2)   2*log (3*x + 2) - 175812*log (3*x + 2)*tan  (x) - 57624*log (3*x + 2)*tan  (x) - 27384*log (3*x + 2)*tan (x) - 686*log (3*x + 2)*tan  (x) - 126*log (3*x + 2)*tan (x) + 3*x*log (3*x + 2) + 2856*log (3*x + 2)*tan (x) + 10290*log (3*x + 2)*tan  (x) + 101724*log (3*x + 2)*tan (x) + 147784*log (3*x + 2)*tan  (x) - 263718*x*log (3*x + 2)*tan  (x) - 86436*x*log (3*x + 2)*tan  (x) - 41076*x*log (3*x + 2)*tan (x) - 1029*x*log (3*x + 2)*tan  (x) - 189*x*log (3*x + 2)*tan (x) + 4284*x*log (3*x + 2)*tan (x) + 15435*x*log (3*x + 2)*tan  (x) + 152586*x*log (3*x + 2)*tan (x) + 221676*x*log (3*x + 2)*tan  (x)   2*log (3*x + 2) - 175812*log (3*x + 2)*tan  (x) - 57624*log (3*x + 2)*tan  (x) - 27384*log (3*x + 2)*tan (x) - 686*log (3*x + 2)*tan  (x) - 126*log (3*x + 2)*tan (x) + 3*x*log (3*x + 2) + 2856*log (3*x + 2)*tan (x) + 10290*log (3*x + 2)*tan  (x) + 101724*log (3*x + 2)*tan (x) + 147784*log (3*x + 2)*tan  (x) - 263718*x*log (3*x + 2)*tan  (x) - 86436*x*log (3*x + 2)*tan  (x) - 41076*x*log (3*x + 2)*tan (x) - 1029*x*log (3*x + 2)*tan  (x) - 189*x*log (3*x + 2)*tan (x) + 4284*x*log (3*x + 2)*tan (x) + 15435*x*log (3*x + 2)*tan  (x) + 152586*x*log (3*x + 2)*tan (x) + 221676*x*log (3*x + 2)*tan  (x)   - 5013288*tan  (x)*log(3*x + 2) - 1645224*tan  (x)*log(3*x + 2) - 1634052*tan  (x)*log(3*x + 2) - 48020*tan  (x)*log(3*x + 2) - 45892*tan (x)*log(3*x + 2) - 84*tan (x)*log(3*x + 2) + 2401*tan  (x)*log(3*x + 2) + 2786*tan (x)*log(3*x + 2) + 388815*tan (x)*log(3*x + 2) + 388962*tan  (x)*log(3*x + 2) + 3795932*tan  (x)*log(3*x + 2) + 3811759*tan  (x)*log(3*x + 2) + log(3*x + 2)   - 5013288*tan  (x)*log(3*x + 2) - 1645224*tan  (x)*log(3*x + 2) - 1634052*tan  (x)*log(3*x + 2) - 48020*tan  (x)*log(3*x + 2) - 45892*tan (x)*log(3*x + 2) - 84*tan (x)*log(3*x + 2) + 2401*tan  (x)*log(3*x + 2) + 2786*tan (x)*log(3*x + 2) + 388815*tan (x)*log(3*x + 2) + 388962*tan  (x)*log(3*x + 2) + 3795932*tan  (x)*log(3*x + 2) + 3811759*tan  (x)*log(3*x + 2) + log(3*x + 2)   - 5013288*tan  (x)*log(3*x + 2) - 1645224*tan  (x)*log(3*x + 2) - 1634052*tan  (x)*log(3*x + 2) - 48020*tan  (x)*log(3*x + 2) - 45892*tan (x)*log(3*x + 2) - 84*tan (x)*log(3*x + 2) + 2401*tan  (x)*log(3*x + 2) + 2786*tan (x)*log(3*x + 2) + 388815*tan (x)*log(3*x + 2) + 388962*tan  (x)*log(3*x + 2) + 3795932*tan  (x)*log(3*x + 2) + 3811759*tan  (x)*log(3*x + 2) + log(3*x + 2)   - 5013288*tan  (x)*log(3*x + 2) - 1645224*tan  (x)*log(3*x + 2) - 1634052*tan  (x)*log(3*x + 2) - 48020*tan  (x)*log(3*x + 2) - 45892*tan (x)*log(3*x + 2) - 84*tan (x)*log(3*x + 2) + 2401*tan  (x)*log(3*x + 2) + 2786*tan (x)*log(3*x + 2) + 388815*tan (x)*log(3*x + 2) + 388962*tan  (x)*log(3*x + 2) + 3795932*tan  (x)*log(3*x + 2) + 3811759*tan  (x)*log(3*x + 2) + log(3*x + 2)

\frac{3 \tan^{21}{\left(x \right)}}{- 1029 x \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 15435 x \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 86436 x \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 221676 x \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 263718 x \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 152586 x \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 41076 x \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 4284 x \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 189 x \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 3 x \log{\left(3 x + 2 \right)}^{2} - 686 \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 10290 \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 57624 \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 147784 \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 175812 \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 101724 \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 27384 \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 2856 \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 126 \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 2 \log{\left(3 x + 2 \right)}^{2}} - \frac{189 \tan^{19}{\left(x \right)}}{- 1029 x \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 15435 x \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 86436 x \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 221676 x \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 263718 x \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 152586 x \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 41076 x \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 4284 x \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 189 x \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 3 x \log{\left(3 x + 2 \right)}^{2} - 686 \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 10290 \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 57624 \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 147784 \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 175812 \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 101724 \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 27384 \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 2856 \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 126 \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 2 \log{\left(3 x + 2 \right)}^{2}} + \frac{4284 \tan^{17}{\left(x \right)}}{- 1029 x \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 15435 x \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 86436 x \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 221676 x \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 263718 x \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 152586 x \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 41076 x \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 4284 x \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 189 x \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 3 x \log{\left(3 x + 2 \right)}^{2} - 686 \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 10290 \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 57624 \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 147784 \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 175812 \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 101724 \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 27384 \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 2856 \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 126 \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 2 \log{\left(3 x + 2 \right)}^{2}} - \frac{41076 \tan^{15}{\left(x \right)}}{- 1029 x \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 15435 x \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 86436 x \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 221676 x \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 263718 x \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 152586 x \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 41076 x \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 4284 x \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 189 x \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 3 x \log{\left(3 x + 2 \right)}^{2} - 686 \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 10290 \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 57624 \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 147784 \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 175812 \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 101724 \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 27384 \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 2856 \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 126 \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 2 \log{\left(3 x + 2 \right)}^{2}} + \frac{152586 \tan^{13}{\left(x \right)}}{- 1029 x \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 15435 x \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 86436 x \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 221676 x \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 263718 x \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 152586 x \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 41076 x \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 4284 x \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 189 x \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 3 x \log{\left(3 x + 2 \right)}^{2} - 686 \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 10290 \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 57624 \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 147784 \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 175812 \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 101724 \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 27384 \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 2856 \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 126 \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 2 \log{\left(3 x + 2 \right)}^{2}} - \frac{263718 \tan^{11}{\left(x \right)}}{- 1029 x \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 15435 x \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 86436 x \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 221676 x \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 263718 x \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 152586 x \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 41076 x \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 4284 x \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 189 x \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 3 x \log{\left(3 x + 2 \right)}^{2} - 686 \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 10290 \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 57624 \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 147784 \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 175812 \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 101724 \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 27384 \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 2856 \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 126 \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 2 \log{\left(3 x + 2 \right)}^{2}} + \frac{221676 \tan^{9}{\left(x \right)}}{- 1029 x \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 15435 x \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 86436 x \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 221676 x \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 263718 x \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 152586 x \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 41076 x \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 4284 x \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 189 x \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 3 x \log{\left(3 x + 2 \right)}^{2} - 686 \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 10290 \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 57624 \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 147784 \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 175812 \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 101724 \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 27384 \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 2856 \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 126 \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 2 \log{\left(3 x + 2 \right)}^{2}} - \frac{86436 \tan^{7}{\left(x \right)}}{- 1029 x \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 15435 x \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 86436 x \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 221676 x \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 263718 x \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 152586 x \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 41076 x \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 4284 x \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 189 x \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 3 x \log{\left(3 x + 2 \right)}^{2} - 686 \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 10290 \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 57624 \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 147784 \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 175812 \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 101724 \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 27384 \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 2856 \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 126 \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 2 \log{\left(3 x + 2 \right)}^{2}} + \frac{15435 \tan^{5}{\left(x \right)}}{- 1029 x \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 15435 x \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 86436 x \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 221676 x \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 263718 x \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 152586 x \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 41076 x \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 4284 x \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 189 x \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 3 x \log{\left(3 x + 2 \right)}^{2} - 686 \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 10290 \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 57624 \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 147784 \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 175812 \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 101724 \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 27384 \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 2856 \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 126 \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 2 \log{\left(3 x + 2 \right)}^{2}} - \frac{1029 \tan^{3}{\left(x \right)}}{- 1029 x \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 15435 x \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 86436 x \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 221676 x \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 263718 x \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 152586 x \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 41076 x \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 4284 x \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 189 x \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 3 x \log{\left(3 x + 2 \right)}^{2} - 686 \log{\left(3 x + 2 \right)}^{2} \tan^{18}{\left(x \right)} + 10290 \log{\left(3 x + 2 \right)}^{2} \tan^{16}{\left(x \right)} - 57624 \log{\left(3 x + 2 \right)}^{2} \tan^{14}{\left(x \right)} + 147784 \log{\left(3 x + 2 \right)}^{2} \tan^{12}{\left(x \right)} - 175812 \log{\left(3 x + 2 \right)}^{2} \tan^{10}{\left(x \right)} + 101724 \log{\left(3 x + 2 \right)}^{2} \tan^{8}{\left(x \right)} - 27384 \log{\left(3 x + 2 \right)}^{2} \tan^{6}{\left(x \right)} + 2856 \log{\left(3 x + 2 \right)}^{2} \tan^{4}{\left(x \right)} - 126 \log{\left(3 x + 2 \right)}^{2} \tan^{2}{\left(x \right)} + 2 \log{\left(3 x + 2 \right)}^{2}} + \frac{21 \tan^{28}{\left(x \right)}}{2401 \log{\left(3 x + 2 \right)} \tan^{24}{\left(x \right)} - 48020 \log{\left(3 x + 2 \right)} \tan^{22}{\left(x \right)} + 388962 \log{\left(3 x + 2 \right)} \tan^{20}{\left(x \right)} - 1634052 \log{\left(3 x + 2 \right)} \tan^{18}{\left(x \right)} + 3811759 \log{\left(3 x + 2 \right)} \tan^{16}{\left(x \right)} - 5013288 \log{\left(3 x + 2 \right)} \tan^{14}{\left(x \right)} + 3795932 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 1645224 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 388815 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 45892 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 2786 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 84 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} - \frac{1764 \tan^{26}{\left(x \right)}}{2401 \log{\left(3 x + 2 \right)} \tan^{24}{\left(x \right)} - 48020 \log{\left(3 x + 2 \right)} \tan^{22}{\left(x \right)} + 388962 \log{\left(3 x + 2 \right)} \tan^{20}{\left(x \right)} - 1634052 \log{\left(3 x + 2 \right)} \tan^{18}{\left(x \right)} + 3811759 \log{\left(3 x + 2 \right)} \tan^{16}{\left(x \right)} - 5013288 \log{\left(3 x + 2 \right)} \tan^{14}{\left(x \right)} + 3795932 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 1645224 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 388815 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 45892 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 2786 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 84 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} + \frac{58506 \tan^{24}{\left(x \right)}}{2401 \log{\left(3 x + 2 \right)} \tan^{24}{\left(x \right)} - 48020 \log{\left(3 x + 2 \right)} \tan^{22}{\left(x \right)} + 388962 \log{\left(3 x + 2 \right)} \tan^{20}{\left(x \right)} - 1634052 \log{\left(3 x + 2 \right)} \tan^{18}{\left(x \right)} + 3811759 \log{\left(3 x + 2 \right)} \tan^{16}{\left(x \right)} - 5013288 \log{\left(3 x + 2 \right)} \tan^{14}{\left(x \right)} + 3795932 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 1645224 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 388815 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 45892 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 2786 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 84 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} - \frac{963732 \tan^{22}{\left(x \right)}}{2401 \log{\left(3 x + 2 \right)} \tan^{24}{\left(x \right)} - 48020 \log{\left(3 x + 2 \right)} \tan^{22}{\left(x \right)} + 388962 \log{\left(3 x + 2 \right)} \tan^{20}{\left(x \right)} - 1634052 \log{\left(3 x + 2 \right)} \tan^{18}{\left(x \right)} + 3811759 \log{\left(3 x + 2 \right)} \tan^{16}{\left(x \right)} - 5013288 \log{\left(3 x + 2 \right)} \tan^{14}{\left(x \right)} + 3795932 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 1645224 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 388815 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 45892 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 2786 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 84 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} + \frac{8165115 \tan^{20}{\left(x \right)}}{2401 \log{\left(3 x + 2 \right)} \tan^{24}{\left(x \right)} - 48020 \log{\left(3 x + 2 \right)} \tan^{22}{\left(x \right)} + 388962 \log{\left(3 x + 2 \right)} \tan^{20}{\left(x \right)} - 1634052 \log{\left(3 x + 2 \right)} \tan^{18}{\left(x \right)} + 3811759 \log{\left(3 x + 2 \right)} \tan^{16}{\left(x \right)} - 5013288 \log{\left(3 x + 2 \right)} \tan^{14}{\left(x \right)} + 3795932 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 1645224 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 388815 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 45892 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 2786 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 84 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} - \frac{34549704 \tan^{18}{\left(x \right)}}{2401 \log{\left(3 x + 2 \right)} \tan^{24}{\left(x \right)} - 48020 \log{\left(3 x + 2 \right)} \tan^{22}{\left(x \right)} + 388962 \log{\left(3 x + 2 \right)} \tan^{20}{\left(x \right)} - 1634052 \log{\left(3 x + 2 \right)} \tan^{18}{\left(x \right)} + 3811759 \log{\left(3 x + 2 \right)} \tan^{16}{\left(x \right)} - 5013288 \log{\left(3 x + 2 \right)} \tan^{14}{\left(x \right)} + 3795932 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 1645224 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 388815 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 45892 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 2786 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 84 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} + \frac{79714572 \tan^{16}{\left(x \right)}}{2401 \log{\left(3 x + 2 \right)} \tan^{24}{\left(x \right)} - 48020 \log{\left(3 x + 2 \right)} \tan^{22}{\left(x \right)} + 388962 \log{\left(3 x + 2 \right)} \tan^{20}{\left(x \right)} - 1634052 \log{\left(3 x + 2 \right)} \tan^{18}{\left(x \right)} + 3811759 \log{\left(3 x + 2 \right)} \tan^{16}{\left(x \right)} - 5013288 \log{\left(3 x + 2 \right)} \tan^{14}{\left(x \right)} + 3795932 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 1645224 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 388815 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 45892 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 2786 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 84 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} - \frac{105279048 \tan^{14}{\left(x \right)}}{2401 \log{\left(3 x + 2 \right)} \tan^{24}{\left(x \right)} - 48020 \log{\left(3 x + 2 \right)} \tan^{22}{\left(x \right)} + 388962 \log{\left(3 x + 2 \right)} \tan^{20}{\left(x \right)} - 1634052 \log{\left(3 x + 2 \right)} \tan^{18}{\left(x \right)} + 3811759 \log{\left(3 x + 2 \right)} \tan^{16}{\left(x \right)} - 5013288 \log{\left(3 x + 2 \right)} \tan^{14}{\left(x \right)} + 3795932 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 1645224 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 388815 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 45892 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 2786 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 84 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} + \frac{80046939 \tan^{12}{\left(x \right)}}{2401 \log{\left(3 x + 2 \right)} \tan^{24}{\left(x \right)} - 48020 \log{\left(3 x + 2 \right)} \tan^{22}{\left(x \right)} + 388962 \log{\left(3 x + 2 \right)} \tan^{20}{\left(x \right)} - 1634052 \log{\left(3 x + 2 \right)} \tan^{18}{\left(x \right)} + 3811759 \log{\left(3 x + 2 \right)} \tan^{16}{\left(x \right)} - 5013288 \log{\left(3 x + 2 \right)} \tan^{14}{\left(x \right)} + 3795932 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 1645224 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 388815 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 45892 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 2786 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 84 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} - \frac{34315092 \tan^{10}{\left(x \right)}}{2401 \log{\left(3 x + 2 \right)} \tan^{24}{\left(x \right)} - 48020 \log{\left(3 x + 2 \right)} \tan^{22}{\left(x \right)} + 388962 \log{\left(3 x + 2 \right)} \tan^{20}{\left(x \right)} - 1634052 \log{\left(3 x + 2 \right)} \tan^{18}{\left(x \right)} + 3811759 \log{\left(3 x + 2 \right)} \tan^{16}{\left(x \right)} - 5013288 \log{\left(3 x + 2 \right)} \tan^{14}{\left(x \right)} + 3795932 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 1645224 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 388815 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 45892 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 2786 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 84 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} + \frac{8168202 \tan^{8}{\left(x \right)}}{2401 \log{\left(3 x + 2 \right)} \tan^{24}{\left(x \right)} - 48020 \log{\left(3 x + 2 \right)} \tan^{22}{\left(x \right)} + 388962 \log{\left(3 x + 2 \right)} \tan^{20}{\left(x \right)} - 1634052 \log{\left(3 x + 2 \right)} \tan^{18}{\left(x \right)} + 3811759 \log{\left(3 x + 2 \right)} \tan^{16}{\left(x \right)} - 5013288 \log{\left(3 x + 2 \right)} \tan^{14}{\left(x \right)} + 3795932 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 1645224 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 388815 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 45892 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 2786 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 84 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} - \frac{1008420 \tan^{6}{\left(x \right)}}{2401 \log{\left(3 x + 2 \right)} \tan^{24}{\left(x \right)} - 48020 \log{\left(3 x + 2 \right)} \tan^{22}{\left(x \right)} + 388962 \log{\left(3 x + 2 \right)} \tan^{20}{\left(x \right)} - 1634052 \log{\left(3 x + 2 \right)} \tan^{18}{\left(x \right)} + 3811759 \log{\left(3 x + 2 \right)} \tan^{16}{\left(x \right)} - 5013288 \log{\left(3 x + 2 \right)} \tan^{14}{\left(x \right)} + 3795932 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 1645224 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 388815 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 45892 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 2786 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 84 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} + \frac{50421 \tan^{4}{\left(x \right)}}{2401 \log{\left(3 x + 2 \right)} \tan^{24}{\left(x \right)} - 48020 \log{\left(3 x + 2 \right)} \tan^{22}{\left(x \right)} + 388962 \log{\left(3 x + 2 \right)} \tan^{20}{\left(x \right)} - 1634052 \log{\left(3 x + 2 \right)} \tan^{18}{\left(x \right)} + 3811759 \log{\left(3 x + 2 \right)} \tan^{16}{\left(x \right)} - 5013288 \log{\left(3 x + 2 \right)} \tan^{14}{\left(x \right)} + 3795932 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 1645224 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 388815 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 45892 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 2786 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 84 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} + \frac{21 \tan^{14}{\left(x \right)}}{49 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 490 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 1519 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 1484 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 511 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 42 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} - \frac{882 \tan^{12}{\left(x \right)}}{49 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 490 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 1519 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 1484 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 511 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 42 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} + \frac{10731 \tan^{10}{\left(x \right)}}{49 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 490 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 1519 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 1484 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 511 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 42 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} - \frac{31164 \tan^{8}{\left(x \right)}}{49 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 490 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 1519 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 1484 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 511 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 42 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} + \frac{31899 \tan^{6}{\left(x \right)}}{49 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 490 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 1519 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 1484 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 511 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 42 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} - \frac{10290 \tan^{4}{\left(x \right)}}{49 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 490 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 1519 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 1484 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 511 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 42 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}} + \frac{1029 \tan^{2}{\left(x \right)}}{49 \log{\left(3 x + 2 \right)} \tan^{12}{\left(x \right)} - 490 \log{\left(3 x + 2 \right)} \tan^{10}{\left(x \right)} + 1519 \log{\left(3 x + 2 \right)} \tan^{8}{\left(x \right)} - 1484 \log{\left(3 x + 2 \right)} \tan^{6}{\left(x \right)} + 511 \log{\left(3 x + 2 \right)} \tan^{4}{\left(x \right)} - 42 \log{\left(3 x + 2 \right)} \tan^{2}{\left(x \right)} + \log{\left(3 x + 2 \right)}}

-105279048*tan(x)^14/(-5013288*tan(x)^14*log(3*x + 2) - 1645224*tan(x)^10*log(3*x + 2) - 1634052*tan(x)^18*log(3*x + 2) - 48020*tan(x)^22*log(3*x + 2) - 45892*tan(x)^6*log(3*x + 2) - 84*tan(x)^2*log(3*x + 2) + 2401*tan(x)^24*log(3*x + 2) + 2786*tan(x)^4*log(3*x + 2) + 388815*tan(x)^8*log(3*x + 2) + 388962*tan(x)^20*log(3*x + 2) + 3795932*tan(x)^12*log(3*x + 2) + 3811759*tan(x)^16*log(3*x + 2) + log(3*x + 2)) - 34549704*tan(x)^18/(-5013288*tan(x)^14*log(3*x + 2) - 1645224*tan(x)^10*log(3*x + 2) - 1634052*tan(x)^18*log(3*x + 2) - 48020*tan(x)^22*log(3*x + 2) - 45892*tan(x)^6*log(3*x + 2) - 84*tan(x)^2*log(3*x + 2) + 2401*tan(x)^24*log(3*x + 2) + 2786*tan(x)^4*log(3*x + 2) + 388815*tan(x)^8*log(3*x + 2) + 388962*tan(x)^20*log(3*x + 2) + 3795932*tan(x)^12*log(3*x + 2) + 3811759*tan(x)^16*log(3*x + 2) + log(3*x + 2)) - 34315092*tan(x)^10/(-5013288*tan(x)^14*log(3*x + 2) - 1645224*tan(x)^10*log(3*x + 2) - 1634052*tan(x)^18*log(3*x + 2) - 48020*tan(x)^22*log(3*x + 2) - 45892*tan(x)^6*log(3*x + 2) - 84*tan(x)^2*log(3*x + 2) + 2401*tan(x)^24*log(3*x + 2) + 2786*tan(x)^4*log(3*x + 2) + 388815*tan(x)^8*log(3*x + 2) + 388962*tan(x)^20*log(3*x + 2) + 3795932*tan(x)^12*log(3*x + 2) + 3811759*tan(x)^16*log(3*x + 2) + log(3*x + 2)) - 1008420*tan(x)^6/(-5013288*tan(x)^14*log(3*x + 2) - 1645224*tan(x)^10*log(3*x + 2) - 1634052*tan(x)^18*log(3*x + 2) - 48020*tan(x)^22*log(3*x + 2) - 45892*tan(x)^6*log(3*x + 2) - 84*tan(x)^2*log(3*x + 2) + 2401*tan(x)^24*log(3*x + 2) + 2786*tan(x)^4*log(3*x + 2) + 388815*tan(x)^8*log(3*x + 2) + 388962*tan(x)^20*log(3*x + 2) + 3795932*tan(x)^12*log(3*x + 2) + 3811759*tan(x)^16*log(3*x + 2) + log(3*x + 2)) - 963732*tan(x)^22/(-5013288*tan(x)^14*log(3*x + 2) - 1645224*tan(x)^10*log(3*x + 2) - 1634052*tan(x)^18*log(3*x + 2) - 48020*tan(x)^22*log(3*x + 2) - 45892*tan(x)^6*log(3*x + 2) - 84*tan(x)^2*log(3*x + 2) + 2401*tan(x)^24*log(3*x + 2) + 2786*tan(x)^4*log(3*x + 2) + 388815*tan(x)^8*log(3*x + 2) + 388962*tan(x)^20*log(3*x + 2) + 3795932*tan(x)^12*log(3*x + 2) + 3811759*tan(x)^16*log(3*x + 2) + log(3*x + 2)) - 263718*tan(x)^11/(2*log(3*x + 2)^2 - 175812*log(3*x + 2)^2*tan(x)^10 - 57624*log(3*x + 2)^2*tan(x)^14 - 27384*log(3*x + 2)^2*tan(x)^6 - 686*log(3*x + 2)^2*tan(x)^18 - 126*log(3*x + 2)^2*tan(x)^2 + 3*x*log(3*x + 2)^2 + 2856*log(3*x + 2)^2*tan(x)^4 + 10290*log(3*x + 2)^2*tan(x)^16 + 101724*log(3*x + 2)^2*tan(x)^8 + 147784*log(3*x + 2)^2*tan(x)^12 - 263718*x*log(3*x + 2)^2*tan(x)^10 - 86436*x*log(3*x + 2)^2*tan(x)^14 - 41076*x*log(3*x + 2)^2*tan(x)^6 - 1029*x*log(3*x + 2)^2*tan(x)^18 - 189*x*log(3*x + 2)^2*tan(x)^2 + 4284*x*log(3*x + 2)^2*tan(x)^4 + 15435*x*log(3*x + 2)^2*tan(x)^16 + 152586*x*log(3*x + 2)^2*tan(x)^8 + 221676*x*log(3*x + 2)^2*tan(x)^12) - 86436*tan(x)^7/(2*log(3*x + 2)^2 - 175812*log(3*x + 2)^2*tan(x)^10 - 57624*log(3*x + 2)^2*tan(x)^14 - 27384*log(3*x + 2)^2*tan(x)^6 - 686*log(3*x + 2)^2*tan(x)^18 - 126*log(3*x + 2)^2*tan(x)^2 + 3*x*log(3*x + 2)^2 + 2856*log(3*x + 2)^2*tan(x)^4 + 10290*log(3*x + 2)^2*tan(x)^16 + 101724*log(3*x + 2)^2*tan(x)^8 + 147784*log(3*x + 2)^2*tan(x)^12 - 263718*x*log(3*x + 2)^2*tan(x)^10 - 86436*x*log(3*x + 2)^2*tan(x)^14 - 41076*x*log(3*x + 2)^2*tan(x)^6 - 1029*x*log(3*x + 2)^2*tan(x)^18 - 189*x*log(3*x + 2)^2*tan(x)^2 + 4284*x*log(3*x + 2)^2*tan(x)^4 + 15435*x*log(3*x + 2)^2*tan(x)^16 + 152586*x*log(3*x + 2)^2*tan(x)^8 + 221676*x*log(3*x + 2)^2*tan(x)^12) - 41076*tan(x)^15/(2*log(3*x + 2)^2 - 175812*log(3*x + 2)^2*tan(x)^10 - 57624*log(3*x + 2)^2*tan(x)^14 - 27384*log(3*x + 2)^2*tan(x)^6 - 686*log(3*x + 2)^2*tan(x)^18 - 126*log(3*x + 2)^2*tan(x)^2 + 3*x*log(3*x + 2)^2 + 2856*log(3*x + 2)^2*tan(x)^4 + 10290*log(3*x + 2)^2*tan(x)^16 + 101724*log(3*x + 2)^2*tan(x)^8 + 147784*log(3*x + 2)^2*tan(x)^12 - 263718*x*log(3*x + 2)^2*tan(x)^10 - 86436*x*log(3*x + 2)^2*tan(x)^14 - 41076*x*log(3*x + 2)^2*tan(x)^6 - 1029*x*log(3*x + 2)^2*tan(x)^18 - 189*x*log(3*x + 2)^2*tan(x)^2 + 4284*x*log(3*x + 2)^2*tan(x)^4 + 15435*x*log(3*x + 2)^2*tan(x)^16 + 152586*x*log(3*x + 2)^2*tan(x)^8 + 221676*x*log(3*x + 2)^2*tan(x)^12) - 31164*tan(x)^8/(-1484*tan(x)^6*log(3*x + 2) - 490*tan(x)^10*log(3*x + 2) - 42*tan(x)^2*log(3*x + 2) + 49*tan(x)^12*log(3*x + 2) + 511*tan(x)^4*log(3*x + 2) + 1519*tan(x)^8*log(3*x + 2) + log(3*x + 2)) - 10290*tan(x)^4/(-1484*tan(x)^6*log(3*x + 2) - 490*tan(x)^10*log(3*x + 2) - 42*tan(x)^2*log(3*x + 2) + 49*tan(x)^12*log(3*x + 2) + 511*tan(x)^4*log(3*x + 2) + 1519*tan(x)^8*log(3*x + 2) + log(3*x + 2)) - 1764*tan(x)^26/(-5013288*tan(x)^14*log(3*x + 2) - 1645224*tan(x)^10*log(3*x + 2) - 1634052*tan(x)^18*log(3*x + 2) - 48020*tan(x)^22*log(3*x + 2) - 45892*tan(x)^6*log(3*x + 2) - 84*tan(x)^2*log(3*x + 2) + 2401*tan(x)^24*log(3*x + 2) + 2786*tan(x)^4*log(3*x + 2) + 388815*tan(x)^8*log(3*x + 2) + 388962*tan(x)^20*log(3*x + 2) + 3795932*tan(x)^12*log(3*x + 2) + 3811759*tan(x)^16*log(3*x + 2) + log(3*x + 2)) - 1029*tan(x)^3/(2*log(3*x + 2)^2 - 175812*log(3*x + 2)^2*tan(x)^10 - 57624*log(3*x + 2)^2*tan(x)^14 - 27384*log(3*x + 2)^2*tan(x)^6 - 686*log(3*x + 2)^2*tan(x)^18 - 126*log(3*x + 2)^2*tan(x)^2 + 3*x*log(3*x + 2)^2 + 2856*log(3*x + 2)^2*tan(x)^4 + 10290*log(3*x + 2)^2*tan(x)^16 + 101724*log(3*x + 2)^2*tan(x)^8 + 147784*log(3*x + 2)^2*tan(x)^12 - 263718*x*log(3*x + 2)^2*tan(x)^10 - 86436*x*log(3*x + 2)^2*tan(x)^14 - 41076*x*log(3*x + 2)^2*tan(x)^6 - 1029*x*log(3*x + 2)^2*tan(x)^18 - 189*x*log(3*x + 2)^2*tan(x)^2 + 4284*x*log(3*x + 2)^2*tan(x)^4 + 15435*x*log(3*x + 2)^2*tan(x)^16 + 152586*x*log(3*x + 2)^2*tan(x)^8 + 221676*x*log(3*x + 2)^2*tan(x)^12) - 882*tan(x)^12/(-1484*tan(x)^6*log(3*x + 2) - 490*tan(x)^10*log(3*x + 2) - 42*tan(x)^2*log(3*x + 2) + 49*tan(x)^12*log(3*x + 2) + 511*tan(x)^4*log(3*x + 2) + 1519*tan(x)^8*log(3*x + 2) + log(3*x + 2)) - 189*tan(x)^19/(2*log(3*x + 2)^2 - 175812*log(3*x + 2)^2*tan(x)^10 - 57624*log(3*x + 2)^2*tan(x)^14 - 27384*log(3*x + 2)^2*tan(x)^6 - 686*log(3*x + 2)^2*tan(x)^18 - 126*log(3*x + 2)^2*tan(x)^2 + 3*x*log(3*x + 2)^2 + 2856*log(3*x + 2)^2*tan(x)^4 + 10290*log(3*x + 2)^2*tan(x)^16 + 101724*log(3*x + 2)^2*tan(x)^8 + 147784*log(3*x + 2)^2*tan(x)^12 - 263718*x*log(3*x + 2)^2*tan(x)^10 - 86436*x*log(3*x + 2)^2*tan(x)^14 - 41076*x*log(3*x + 2)^2*tan(x)^6 - 1029*x*log(3*x + 2)^2*tan(x)^18 - 189*x*log(3*x + 2)^2*tan(x)^2 + 4284*x*log(3*x + 2)^2*tan(x)^4 + 15435*x*log(3*x + 2)^2*tan(x)^16 + 152586*x*log(3*x + 2)^2*tan(x)^8 + 221676*x*log(3*x + 2)^2*tan(x)^12) + 3*tan(x)^21/(2*log(3*x + 2)^2 - 175812*log(3*x + 2)^2*tan(x)^10 - 57624*log(3*x + 2)^2*tan(x)^14 - 27384*log(3*x + 2)^2*tan(x)^6 - 686*log(3*x + 2)^2*tan(x)^18 - 126*log(3*x + 2)^2*tan(x)^2 + 3*x*log(3*x + 2)^2 + 2856*log(3*x + 2)^2*tan(x)^4 + 10290*log(3*x + 2)^2*tan(x)^16 + 101724*log(3*x + 2)^2*tan(x)^8 + 147784*log(3*x + 2)^2*tan(x)^12 - 263718*x*log(3*x + 2)^2*tan(x)^10 - 86436*x*log(3*x + 2)^2*tan(x)^14 - 41076*x*log(3*x + 2)^2*tan(x)^6 - 1029*x*log(3*x + 2)^2*tan(x)^18 - 189*x*log(3*x + 2)^2*tan(x)^2 + 4284*x*log(3*x + 2)^2*tan(x)^4 + 15435*x*log(3*x + 2)^2*tan(x)^16 + 152586*x*log(3*x + 2)^2*tan(x)^8 + 221676*x*log(3*x + 2)^2*tan(x)^12) + 21*tan(x)^14/(-1484*tan(x)^6*log(3*x + 2) - 490*tan(x)^10*log(3*x + 2) - 42*tan(x)^2*log(3*x + 2) + 49*tan(x)^12*log(3*x + 2) + 511*tan(x)^4*log(3*x + 2) + 1519*tan(x)^8*log(3*x + 2) + log(3*x + 2)) + 21*tan(x)^28/(-5013288*tan(x)^14*log(3*x + 2) - 1645224*tan(x)^10*log(3*x + 2) - 1634052*tan(x)^18*log(3*x + 2) - 48020*tan(x)^22*log(3*x + 2) - 45892*tan(x)^6*log(3*x + 2) - 84*tan(x)^2*log(3*x + 2) + 2401*tan(x)^24*log(3*x + 2) + 2786*tan(x)^4*log(3*x + 2) + 388815*tan(x)^8*log(3*x + 2) + 388962*tan(x)^20*log(3*x + 2) + 3795932*tan(x)^12*log(3*x + 2) + 3811759*tan(x)^16*log(3*x + 2) + log(3*x + 2)) + 1029*tan(x)^2/(-1484*tan(x)^6*log(3*x + 2) - 490*tan(x)^10*log(3*x + 2) - 42*tan(x)^2*log(3*x + 2) + 49*tan(x)^12*log(3*x + 2) + 511*tan(x)^4*log(3*x + 2) + 1519*tan(x)^8*log(3*x + 2) + log(3*x + 2)) + 4284*tan(x)^17/(2*log(3*x + 2)^2 - 175812*log(3*x + 2)^2*tan(x)^10 - 57624*log(3*x + 2)^2*tan(x)^14 - 27384*log(3*x + 2)^2*tan(x)^6 - 686*log(3*x + 2)^2*tan(x)^18 - 126*log(3*x + 2)^2*tan(x)^2 + 3*x*log(3*x + 2)^2 + 2856*log(3*x + 2)^2*tan(x)^4 + 10290*log(3*x + 2)^2*tan(x)^16 + 101724*log(3*x + 2)^2*tan(x)^8 + 147784*log(3*x + 2)^2*tan(x)^12 - 263718*x*log(3*x + 2)^2*tan(x)^10 - 86436*x*log(3*x + 2)^2*tan(x)^14 - 41076*x*log(3*x + 2)^2*tan(x)^6 - 1029*x*log(3*x + 2)^2*tan(x)^18 - 189*x*log(3*x + 2)^2*tan(x)^2 + 4284*x*log(3*x + 2)^2*tan(x)^4 + 15435*x*log(3*x + 2)^2*tan(x)^16 + 152586*x*log(3*x + 2)^2*tan(x)^8 + 221676*x*log(3*x + 2)^2*tan(x)^12) + 10731*tan(x)^10/(-1484*tan(x)^6*log(3*x + 2) - 490*tan(x)^10*log(3*x + 2) - 42*tan(x)^2*log(3*x + 2) + 49*tan(x)^12*log(3*x + 2) + 511*tan(x)^4*log(3*x + 2) + 1519*tan(x)^8*log(3*x + 2) + log(3*x + 2)) + 15435*tan(x)^5/(2*log(3*x + 2)^2 - 175812*log(3*x + 2)^2*tan(x)^10 - 57624*log(3*x + 2)^2*tan(x)^14 - 27384*log(3*x + 2)^2*tan(x)^6 - 686*log(3*x + 2)^2*tan(x)^18 - 126*log(3*x + 2)^2*tan(x)^2 + 3*x*log(3*x + 2)^2 + 2856*log(3*x + 2)^2*tan(x)^4 + 10290*log(3*x + 2)^2*tan(x)^16 + 101724*log(3*x + 2)^2*tan(x)^8 + 147784*log(3*x + 2)^2*tan(x)^12 - 263718*x*log(3*x + 2)^2*tan(x)^10 - 86436*x*log(3*x + 2)^2*tan(x)^14 - 41076*x*log(3*x + 2)^2*tan(x)^6 - 1029*x*log(3*x + 2)^2*tan(x)^18 - 189*x*log(3*x + 2)^2*tan(x)^2 + 4284*x*log(3*x + 2)^2*tan(x)^4 + 15435*x*log(3*x + 2)^2*tan(x)^16 + 152586*x*log(3*x + 2)^2*tan(x)^8 + 221676*x*log(3*x + 2)^2*tan(x)^12) + 31899*tan(x)^6/(-1484*tan(x)^6*log(3*x + 2) - 490*tan(x)^10*log(3*x + 2) - 42*tan(x)^2*log(3*x + 2) + 49*tan(x)^12*log(3*x + 2) + 511*tan(x)^4*log(3*x + 2) + 1519*tan(x)^8*log(3*x + 2) + log(3*x + 2)) + 50421*tan(x)^4/(-5013288*tan(x)^14*log(3*x + 2) - 1645224*tan(x)^10*log(3*x + 2) - 1634052*tan(x)^18*log(3*x + 2) - 48020*tan(x)^22*log(3*x + 2) - 45892*tan(x)^6*log(3*x + 2) - 84*tan(x)^2*log(3*x + 2) + 2401*tan(x)^24*log(3*x + 2) + 2786*tan(x)^4*log(3*x + 2) + 388815*tan(x)^8*log(3*x + 2) + 388962*tan(x)^20*log(3*x + 2) + 3795932*tan(x)^12*log(3*x + 2) + 3811759*tan(x)^16*log(3*x + 2) + log(3*x + 2)) + 58506*tan(x)^24/(-5013288*tan(x)^14*log(3*x + 2) - 1645224*tan(x)^10*log(3*x + 2) - 1634052*tan(x)^18*log(3*x + 2) - 48020*tan(x)^22*log(3*x + 2) - 45892*tan(x)^6*log(3*x + 2) - 84*tan(x)^2*log(3*x + 2) + 2401*tan(x)^24*log(3*x + 2) + 2786*tan(x)^4*log(3*x + 2) + 388815*tan(x)^8*log(3*x + 2) + 388962*tan(x)^20*log(3*x + 2) + 3795932*tan(x)^12*log(3*x + 2) + 3811759*tan(x)^16*log(3*x + 2) + log(3*x + 2)) + 152586*tan(x)^13/(2*log(3*x + 2)^2 - 175812*log(3*x + 2)^2*tan(x)^10 - 57624*log(3*x + 2)^2*tan(x)^14 - 27384*log(3*x + 2)^2*tan(x)^6 - 686*log(3*x + 2)^2*tan(x)^18 - 126*log(3*x + 2)^2*tan(x)^2 + 3*x*log(3*x + 2)^2 + 2856*log(3*x + 2)^2*tan(x)^4 + 10290*log(3*x + 2)^2*tan(x)^16 + 101724*log(3*x + 2)^2*tan(x)^8 + 147784*log(3*x + 2)^2*tan(x)^12 - 263718*x*log(3*x + 2)^2*tan(x)^10 - 86436*x*log(3*x + 2)^2*tan(x)^14 - 41076*x*log(3*x + 2)^2*tan(x)^6 - 1029*x*log(3*x + 2)^2*tan(x)^18 - 189*x*log(3*x + 2)^2*tan(x)^2 + 4284*x*log(3*x + 2)^2*tan(x)^4 + 15435*x*log(3*x + 2)^2*tan(x)^16 + 152586*x*log(3*x + 2)^2*tan(x)^8 + 221676*x*log(3*x + 2)^2*tan(x)^12) + 221676*tan(x)^9/(2*log(3*x + 2)^2 - 175812*log(3*x + 2)^2*tan(x)^10 - 57624*log(3*x + 2)^2*tan(x)^14 - 27384*log(3*x + 2)^2*tan(x)^6 - 686*log(3*x + 2)^2*tan(x)^18 - 126*log(3*x + 2)^2*tan(x)^2 + 3*x*log(3*x + 2)^2 + 2856*log(3*x + 2)^2*tan(x)^4 + 10290*log(3*x + 2)^2*tan(x)^16 + 101724*log(3*x + 2)^2*tan(x)^8 + 147784*log(3*x + 2)^2*tan(x)^12 - 263718*x*log(3*x + 2)^2*tan(x)^10 - 86436*x*log(3*x + 2)^2*tan(x)^14 - 41076*x*log(3*x + 2)^2*tan(x)^6 - 1029*x*log(3*x + 2)^2*tan(x)^18 - 189*x*log(3*x + 2)^2*tan(x)^2 + 4284*x*log(3*x + 2)^2*tan(x)^4 + 15435*x*log(3*x + 2)^2*tan(x)^16 + 152586*x*log(3*x + 2)^2*tan(x)^8 + 221676*x*log(3*x + 2)^2*tan(x)^12) + 8165115*tan(x)^20/(-5013288*tan(x)^14*log(3*x + 2) - 1645224*tan(x)^10*log(3*x + 2) - 1634052*tan(x)^18*log(3*x + 2) - 48020*tan(x)^22*log(3*x + 2) - 45892*tan(x)^6*log(3*x + 2) - 84*tan(x)^2*log(3*x + 2) + 2401*tan(x)^24*log(3*x + 2) + 2786*tan(x)^4*log(3*x + 2) + 388815*tan(x)^8*log(3*x + 2) + 388962*tan(x)^20*log(3*x + 2) + 3795932*tan(x)^12*log(3*x + 2) + 3811759*tan(x)^16*log(3*x + 2) + log(3*x + 2)) + 8168202*tan(x)^8/(-5013288*tan(x)^14*log(3*x + 2) - 1645224*tan(x)^10*log(3*x + 2) - 1634052*tan(x)^18*log(3*x + 2) - 48020*tan(x)^22*log(3*x + 2) - 45892*tan(x)^6*log(3*x + 2) - 84*tan(x)^2*log(3*x + 2) + 2401*tan(x)^24*log(3*x + 2) + 2786*tan(x)^4*log(3*x + 2) + 388815*tan(x)^8*log(3*x + 2) + 388962*tan(x)^20*log(3*x + 2) + 3795932*tan(x)^12*log(3*x + 2) + 3811759*tan(x)^16*log(3*x + 2) + log(3*x + 2)) + 79714572*tan(x)^16/(-5013288*tan(x)^14*log(3*x + 2) - 1645224*tan(x)^10*log(3*x + 2) - 1634052*tan(x)^18*log(3*x + 2) - 48020*tan(x)^22*log(3*x + 2) - 45892*tan(x)^6*log(3*x + 2) - 84*tan(x)^2*log(3*x + 2) + 2401*tan(x)^24*log(3*x + 2) + 2786*tan(x)^4*log(3*x + 2) + 388815*tan(x)^8*log(3*x + 2) + 388962*tan(x)^20*log(3*x + 2) + 3795932*tan(x)^12*log(3*x + 2) + 3811759*tan(x)^16*log(3*x + 2) + log(3*x + 2)) + 80046939*tan(x)^12/(-5013288*tan(x)^14*log(3*x + 2) - 1645224*tan(x)^10*log(3*x + 2) - 1634052*tan(x)^18*log(3*x + 2) - 48020*tan(x)^22*log(3*x + 2) - 45892*tan(x)^6*log(3*x + 2) - 84*tan(x)^2*log(3*x + 2) + 2401*tan(x)^24*log(3*x + 2) + 2786*tan(x)^4*log(3*x + 2) + 388815*tan(x)^8*log(3*x + 2) + 388962*tan(x)^20*log(3*x + 2) + 3795932*tan(x)^12*log(3*x + 2) + 3811759*tan(x)^16*log(3*x + 2) + log(3*x + 2))

Parte trigonométrica [src]

                                              2          
                               /       2/7*x\\     2/7*x\
             3              84*|1 + tan |---|| *tan |---|
        3*tan (7*x)            \        \ 2 //      \ 2 /
- ----------------------- + -----------------------------
               2                           4             
  (2 + 3*x)*log (2 + 3*x)   /       2/7*x\\              
                            |1 - tan |---|| *log(2 + 3*x)
                            \        \ 2 //

- \frac{3 \tan^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}} + \frac{84 \left(\tan^{2}{\left(\frac{7 x}{2} \right)} + 1\right)^{2} \tan^{2}{\left(\frac{7 x}{2} \right)}}{\left(1 - \tan^{2}{\left(\frac{7 x}{2} \right)}\right)^{4} \log{\left(3 x + 2 \right)}}

             3                                  2                   
        3*tan (7*x)                       21*tan (7*x)              
- ----------------------- + ----------------------------------------
               2                            2                       
  (2 + 3*x)*log (2 + 3*x)   /        2/7*x\\                  4/7*x\
                            |-1 + cot |---|| *log(2 + 3*x)*sin |---|
                            \         \ 2 //                   \ 2 /

\frac{21 \tan^{2}{\left(7 x \right)}}{\left(\cot^{2}{\left(\frac{7 x}{2} \right)} - 1\right)^{2} \log{\left(3 x + 2 \right)} \sin^{4}{\left(\frac{7 x}{2} \right)}} - \frac{3 \tan^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}}

               /           2/      pi\\                                    
               |     21*cos |7*x - --||                                    
   2/      pi\ |            \      2 /|                                    
cos |7*x - --|*|21 + -----------------|                 3/      pi\        
    \      2 / |            2         |            3*cos |7*x - --|        
               \         cos (7*x)    /                  \      2 /        
--------------------------------------- - ---------------------------------
            2                                          3         2         
         cos (7*x)*log(2 + 3*x)           (2 + 3*x)*cos (7*x)*log (2 + 3*x)

\frac{\left(21 + \frac{21 \cos^{2}{\left(7 x - \frac{\pi}{2} \right)}}{\cos^{2}{\left(7 x \right)}}\right) \cos^{2}{\left(7 x - \frac{\pi}{2} \right)}}{\log{\left(3 x + 2 \right)} \cos^{2}{\left(7 x \right)}} - \frac{3 \cos^{3}{\left(7 x - \frac{\pi}{2} \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \cos^{3}{\left(7 x \right)}}

                                                2/7*x\             
             3                            84*tan |---|             
        3*tan (7*x)                              \ 2 /             
- ----------------------- + ---------------------------------------
               2                           4                       
  (2 + 3*x)*log (2 + 3*x)   /       2/7*x\\     4/7*x\             
                            |1 - tan |---|| *cos |---|*log(2 + 3*x)
                            \        \ 2 //      \ 2 /

- \frac{3 \tan^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}} + \frac{84 \tan^{2}{\left(\frac{7 x}{2} \right)}}{\left(1 - \tan^{2}{\left(\frac{7 x}{2} \right)}\right)^{4} \log{\left(3 x + 2 \right)} \cos^{4}{\left(\frac{7 x}{2} \right)}}

          /           2     \                                    
   2      |     21*sin (7*x)|                                    
sin (7*x)*|21 + ------------|                                    
          |         2       |                   3                
          \      cos (7*x)  /              3*sin (7*x)           
----------------------------- - ---------------------------------
       2                                     3         2         
    cos (7*x)*log(2 + 3*x)      (2 + 3*x)*cos (7*x)*log (2 + 3*x)

\frac{\left(\frac{21 \sin^{2}{\left(7 x \right)}}{\cos^{2}{\left(7 x \right)}} + 21\right) \sin^{2}{\left(7 x \right)}}{\log{\left(3 x + 2 \right)} \cos^{2}{\left(7 x \right)}} - \frac{3 \sin^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \cos^{3}{\left(7 x \right)}}

             3                    4         2     
        3*tan (7*x)         21*sec (7*x)*sin (7*x)
- ----------------------- + ----------------------
               2                 log(2 + 3*x)     
  (2 + 3*x)*log (2 + 3*x)

\frac{21 \sin^{2}{\left(7 x \right)} \sec^{4}{\left(7 x \right)}}{\log{\left(3 x + 2 \right)}} - \frac{3 \tan^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}}

             3                         2          
        3*tan (7*x)              21*sin (7*x)     
- ----------------------- + ----------------------
               2               4                  
  (2 + 3*x)*log (2 + 3*x)   cos (7*x)*log(2 + 3*x)

\frac{21 \sin^{2}{\left(7 x \right)}}{\log{\left(3 x + 2 \right)} \cos^{4}{\left(7 x \right)}} - \frac{3 \tan^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}}

                                              2          
                               /       2/7*x\\     2     
             3              21*|1 + tan |---|| *tan (7*x)
        3*tan (7*x)            \        \ 2 //           
- ----------------------- + -----------------------------
               2                           2             
  (2 + 3*x)*log (2 + 3*x)   /       2/7*x\\              
                            |1 - tan |---|| *log(2 + 3*x)
                            \        \ 2 //

- \frac{3 \tan^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}} + \frac{21 \left(\tan^{2}{\left(\frac{7 x}{2} \right)} + 1\right)^{2} \tan^{2}{\left(7 x \right)}}{\left(1 - \tan^{2}{\left(\frac{7 x}{2} \right)}\right)^{2} \log{\left(3 x + 2 \right)}}

             21                                           
    21 + ---------                                        
            2                                             
         cot (7*x)                       3                
---------------------- - ---------------------------------
   2                                  3         2         
cot (7*x)*log(2 + 3*x)   (2 + 3*x)*cot (7*x)*log (2 + 3*x)

\frac{21 + \frac{21}{\cot^{2}{\left(7 x \right)}}}{\log{\left(3 x + 2 \right)} \cot^{2}{\left(7 x \right)}} - \frac{3}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \cot^{3}{\left(7 x \right)}}

        2/      pi\                    3/      pi\        
  21*cos |7*x - --|               3*cos |7*x - --|        
         \      2 /                     \      2 /        
---------------------- - ---------------------------------
   4                                  3         2         
cos (7*x)*log(2 + 3*x)   (2 + 3*x)*cos (7*x)*log (2 + 3*x)

\frac{21 \cos^{2}{\left(7 x - \frac{\pi}{2} \right)}}{\log{\left(3 x + 2 \right)} \cos^{4}{\left(7 x \right)}} - \frac{3 \cos^{3}{\left(7 x - \frac{\pi}{2} \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \cos^{3}{\left(7 x \right)}}

                   6                                      4                  
             24*sin (7*x)                           84*sin (7*x)             
- ---------------------------------- + --------------------------------------
               2             3                         2          2/pi      \
  (2 + 3*x)*log (2 + 3*x)*sin (14*x)   log(2 + 3*x)*sin (14*x)*sin |-- + 7*x|
                                                                   \2       /

\frac{84 \sin^{4}{\left(7 x \right)}}{\log{\left(3 x + 2 \right)} \sin^{2}{\left(14 x \right)} \sin^{2}{\left(7 x + \frac{\pi}{2} \right)}} - \frac{24 \sin^{6}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \sin^{3}{\left(14 x \right)}}

             3                                  2                  
        3*tan (7*x)                       21*tan (7*x)             
- ----------------------- + ---------------------------------------
               2                           2                       
  (2 + 3*x)*log (2 + 3*x)   /       2/7*x\\     4/7*x\             
                            |1 - tan |---|| *cos |---|*log(2 + 3*x)
                            \        \ 2 //      \ 2 /

- \frac{3 \tan^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}} + \frac{21 \tan^{2}{\left(7 x \right)}}{\left(1 - \tan^{2}{\left(\frac{7 x}{2} \right)}\right)^{2} \log{\left(3 x + 2 \right)} \cos^{4}{\left(\frac{7 x}{2} \right)}}

                                                2/7*x\              
             3                            84*cot |---|              
        3*tan (7*x)                              \ 2 /              
- ----------------------- + ----------------------------------------
               2                            4                       
  (2 + 3*x)*log (2 + 3*x)   /        2/7*x\\                  4/7*x\
                            |-1 + cot |---|| *log(2 + 3*x)*sin |---|
                            \         \ 2 //                   \ 2 /

\frac{84 \cot^{2}{\left(\frac{7 x}{2} \right)}}{\left(\cot^{2}{\left(\frac{7 x}{2} \right)} - 1\right)^{4} \log{\left(3 x + 2 \right)} \sin^{4}{\left(\frac{7 x}{2} \right)}} - \frac{3 \tan^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}}

                                                                  2           
                                                   /       2/7*x\\            
                                                21*|1 + cot |---||            
                  3                                \        \ 2 //            
- --------------------------------- + ----------------------------------------
               3         2                            2                       
  (2 + 3*x)*cot (7*x)*log (2 + 3*x)   /        2/7*x\\     2                  
                                      |-1 + cot |---|| *cot (7*x)*log(2 + 3*x)
                                      \         \ 2 //

\frac{21 \left(\cot^{2}{\left(\frac{7 x}{2} \right)} + 1\right)^{2}}{\left(\cot^{2}{\left(\frac{7 x}{2} \right)} - 1\right)^{2} \log{\left(3 x + 2 \right)} \cot^{2}{\left(7 x \right)}} - \frac{3}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \cot^{3}{\left(7 x \right)}}

               /           2/pi      \\                                    
               |     21*csc |-- - 7*x||                                    
   2/pi      \ |            \2       /|                                    
csc |-- - 7*x|*|21 + -----------------|                 3/pi      \        
    \2       / |            2         |            3*csc |-- - 7*x|        
               \         csc (7*x)    /                  \2       /        
--------------------------------------- - ---------------------------------
            2                                          3         2         
         csc (7*x)*log(2 + 3*x)           (2 + 3*x)*csc (7*x)*log (2 + 3*x)

\frac{\left(21 + \frac{21 \csc^{2}{\left(- 7 x + \frac{\pi}{2} \right)}}{\csc^{2}{\left(7 x \right)}}\right) \csc^{2}{\left(- 7 x + \frac{\pi}{2} \right)}}{\log{\left(3 x + 2 \right)} \csc^{2}{\left(7 x \right)}} - \frac{3 \csc^{3}{\left(- 7 x + \frac{\pi}{2} \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \csc^{3}{\left(7 x \right)}}

             3                         2          
        3*tan (7*x)              21*tan (7*x)     
- ----------------------- + ----------------------
               2               2                  
  (2 + 3*x)*log (2 + 3*x)   cos (7*x)*log(2 + 3*x)

\frac{21 \tan^{2}{\left(7 x \right)}}{\log{\left(3 x + 2 \right)} \cos^{2}{\left(7 x \right)}} - \frac{3 \tan^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}}

              4                                 3                   
        21*sec (7*x)                       3*sec (7*x)              
--------------------------- - --------------------------------------
                2/      pi\                2             3/      pi\
log(2 + 3*x)*sec |7*x - --|   (2 + 3*x)*log (2 + 3*x)*sec |7*x - --|
                 \      2 /                               \      2 /

\frac{21 \sec^{4}{\left(7 x \right)}}{\log{\left(3 x + 2 \right)} \sec^{2}{\left(7 x - \frac{\pi}{2} \right)}} - \frac{3 \sec^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \sec^{3}{\left(7 x - \frac{\pi}{2} \right)}}

          /           2     \                                    
   2      |     21*sec (7*x)|                                    
sec (7*x)*|21 + ------------|                                    
          |         2       |                   3                
          \      csc (7*x)  /              3*sec (7*x)           
----------------------------- - ---------------------------------
       2                                     3         2         
    csc (7*x)*log(2 + 3*x)      (2 + 3*x)*csc (7*x)*log (2 + 3*x)

\frac{\left(21 + \frac{21 \sec^{2}{\left(7 x \right)}}{\csc^{2}{\left(7 x \right)}}\right) \sec^{2}{\left(7 x \right)}}{\log{\left(3 x + 2 \right)} \csc^{2}{\left(7 x \right)}} - \frac{3 \sec^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \csc^{3}{\left(7 x \right)}}

                                                   /           4     \
                                            4      |     84*sin (7*x)|
                                       4*sin (7*x)*|21 + ------------|
                   6                               |         2       |
             24*sin (7*x)                          \      sin (14*x) /
- ---------------------------------- + -------------------------------
               2             3                             2          
  (2 + 3*x)*log (2 + 3*x)*sin (14*x)       log(2 + 3*x)*sin (14*x)

\frac{4 \left(\frac{84 \sin^{4}{\left(7 x \right)}}{\sin^{2}{\left(14 x \right)}} + 21\right) \sin^{4}{\left(7 x \right)}}{\log{\left(3 x + 2 \right)} \sin^{2}{\left(14 x \right)}} - \frac{24 \sin^{6}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \sin^{3}{\left(14 x \right)}}

        4/pi      \                    3/pi      \        
  21*csc |-- - 7*x|               3*csc |-- - 7*x|        
         \2       /                     \2       /        
---------------------- - ---------------------------------
   2                                  3         2         
csc (7*x)*log(2 + 3*x)   (2 + 3*x)*csc (7*x)*log (2 + 3*x)

\frac{21 \csc^{4}{\left(- 7 x + \frac{\pi}{2} \right)}}{\log{\left(3 x + 2 \right)} \csc^{2}{\left(7 x \right)}} - \frac{3 \csc^{3}{\left(- 7 x + \frac{\pi}{2} \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \csc^{3}{\left(7 x \right)}}

              2                                6                
        21*sin (7*x)                     24*sin (7*x)           
--------------------------- - ----------------------------------
                4/pi      \                2             3      
log(2 + 3*x)*sin |-- + 7*x|   (2 + 3*x)*log (2 + 3*x)*sin (14*x)
                 \2       /

\frac{21 \sin^{2}{\left(7 x \right)}}{\log{\left(3 x + 2 \right)} \sin^{4}{\left(7 x + \frac{\pi}{2} \right)}} - \frac{24 \sin^{6}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \sin^{3}{\left(14 x \right)}}

             3                         2          
        3*tan (7*x)              21*tan (7*x)     
- ----------------------- + ----------------------
               2               2                  
  (3*x + 2)*log (3*x + 2)   cos (7*x)*log(3*x + 2)

\frac{21 \tan^{2}{\left(7 x \right)}}{\log{\left(3 x + 2 \right)} \cos^{2}{\left(7 x \right)}} - \frac{3 \tan^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2}}

                                                        2           
                                         /       2/7*x\\     2/7*x\ 
                                      84*|1 + cot |---|| *cot |---| 
                  3                      \        \ 2 //      \ 2 / 
- --------------------------------- + ------------------------------
               3         2                            4             
  (2 + 3*x)*cot (7*x)*log (2 + 3*x)   /        2/7*x\\              
                                      |-1 + cot |---|| *log(2 + 3*x)
                                      \         \ 2 //

\frac{84 \left(\cot^{2}{\left(\frac{7 x}{2} \right)} + 1\right)^{2} \cot^{2}{\left(\frac{7 x}{2} \right)}}{\left(\cot^{2}{\left(\frac{7 x}{2} \right)} - 1\right)^{4} \log{\left(3 x + 2 \right)}} - \frac{3}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \cot^{3}{\left(7 x \right)}}

          /            2      \                                         
   2      |      21*sec (7*x) |                                         
sec (7*x)*|21 + --------------|                                         
          |        2/      pi\|                                         
          |     sec |7*x - --||                     3                   
          \         \      2 //                3*sec (7*x)              
------------------------------- - --------------------------------------
                  2/      pi\                  2             3/      pi\
  log(2 + 3*x)*sec |7*x - --|     (2 + 3*x)*log (2 + 3*x)*sec |7*x - --|
                   \      2 /                                 \      2 /

\frac{\left(\frac{21 \sec^{2}{\left(7 x \right)}}{\sec^{2}{\left(7 x - \frac{\pi}{2} \right)}} + 21\right) \sec^{2}{\left(7 x \right)}}{\log{\left(3 x + 2 \right)} \sec^{2}{\left(7 x - \frac{\pi}{2} \right)}} - \frac{3 \sec^{3}{\left(7 x \right)}}{\left(3 x + 2\right) \log{\left(3 x + 2 \right)}^{2} \sec^{3}{\left(7 x - \frac{\pi}{2} \right)}}

sec(7*x)^2*(21 + 21*sec(7*x)^2/sec(7*x - pi/2)^2)/(log(2 + 3*x)*sec(7*x - pi/2)^2) - 3*sec(7*x)^3/((2 + 3*x)*log(2 + 3*x)^2*sec(7*x - pi/2)^3)

Potencias [src]

                        /                            2\                                              
                      2 |        /   7*I*x    -7*I*x\ |                                              
  /   7*I*x    -7*I*x\  |     21*\- e      + e      / |                                              
  \- e      + e      / *|21 - ------------------------|                                              
                        |                         2   |                                    3         
                        |       / -7*I*x    7*I*x\    |                /   7*I*x    -7*I*x\          
                        \       \e       + e     /    /            3*I*\- e      + e      /          
- ----------------------------------------------------- + -------------------------------------------
                               2                                                      3              
             / -7*I*x    7*I*x\                                     / -7*I*x    7*I*x\     2         
             \e       + e     / *log(2 + 3*x)             (2 + 3*x)*\e       + e     / *log (2 + 3*x)

- \frac{\left(- \frac{21 \left(- e^{7 i x} + e^{- 7 i x}\right)^{2}}{\left(e^{7 i x} + e^{- 7 i x}\right)^{2}} + 21\right) \left(- e^{7 i x} + e^{- 7 i x}\right)^{2}}{\left(e^{7 i x} + e^{- 7 i x}\right)^{2} \log{\left(3 x + 2 \right)}} + \frac{3 i \left(- e^{7 i x} + e^{- 7 i x}\right)^{3}}{\left(3 x + 2\right) \left(e^{7 i x} + e^{- 7 i x}\right)^{3} \log{\left(3 x + 2 \right)}^{2}}

-(-exp(7*i*x) + exp(-7*i*x))^2*(21 - 21*(-exp(7*i*x) + exp(-7*i*x))^2/(exp(-7*i*x) + exp(7*i*x))^2)/((exp(-7*i*x) + exp(7*i*x))^2*log(2 + 3*x)) + 3*i*(-exp(7*i*x) + exp(-7*i*x))^3/((2 + 3*x)*(exp(-7*i*x) + exp(7*i*x))^3*log(2 + 3*x)^2)

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¿Cómo vas a descomponer esta tan(7*x)^2*(21+21*tan(7*x)^2)/log(3*x+2)-3*tan(7*x)^3/((3*x+2)*log(3*x+2)^2) expresión en fracciones?

Solución

¿Cómo vas a descomponer esta tan(7x)^2(21+21tan(7x)^2)/log(3x+2)-3tan(7x)^3/((3x+2)log(3x+2)^2) expresión en fracciones?