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¿cómo vas a descomponer esta expresión en fracciones?:
(y-x)/(y/x-x/y)
-1/x+3/(x^2+2)
(a^2+4ab+b^2)/(a+b)^2
(y-x/y*(x+y))*(-x*y/(x^3-x*y^2))
Factorizar el polinomio:
y^2+x*y+x^2+2*x+2*y
y^2-5*x^2/4-11/2
y^2+2*y*w+w^2
y^2-x*y+3*x-y-6
Descomponer al cuadrado:
-y^4+6*y^2+9
y^4-5*y^2-5
y^4-5*y^2+15
-y^4-4*y^2-8
Expresiones idénticas
sqrt(cot(x)/(once - cinco *x))*(once - cinco *x)*((- uno -cot(x)^ dos)/(dos *(once - cinco *x))+ cinco *cot(x)/(dos *(once - cinco *x)^ dos))/cot(x)
raíz cuadrada de ( cotangente de (x) dividir por (11 menos 5 multiplicar por x)) multiplicar por (11 menos 5 multiplicar por x) multiplicar por (( menos 1 menos cotangente de (x) al cuadrado ) dividir por (2 multiplicar por (11 menos 5 multiplicar por x)) más 5 multiplicar por cotangente de (x) dividir por (2 multiplicar por (11 menos 5 multiplicar por x) al cuadrado )) dividir por cotangente de (x)
raíz cuadrada de ( cotangente de (x) dividir por (once menos cinco multiplicar por x)) multiplicar por (once menos cinco multiplicar por x) multiplicar por (( menos uno menos cotangente de (x) en el grado dos) dividir por (dos multiplicar por (once menos cinco multiplicar por x)) más cinco multiplicar por cotangente de (x) dividir por (dos multiplicar por (once menos cinco multiplicar por x) en el grado dos)) dividir por cotangente de (x)
√(cot(x)/(11-5*x))*(11-5*x)*((-1-cot(x)^2)/(2*(11-5*x))+5*cot(x)/(2*(11-5*x)^2))/cot(x)
sqrt(cot(x)/(11-5*x))*(11-5*x)*((-1-cot(x)2)/(2*(11-5*x))+5*cot(x)/(2*(11-5*x)2))/cot(x)
sqrtcotx/11-5*x*11-5*x*-1-cotx2/2*11-5*x+5*cotx/2*11-5*x2/cotx
sqrt(cot(x)/(11-5*x))*(11-5*x)*((-1-cot(x)²)/(2*(11-5*x))+5*cot(x)/(2*(11-5*x)²))/cot(x)
sqrt(cot(x)/(11-5*x))*(11-5*x)*((-1-cot(x) en el grado 2)/(2*(11-5*x))+5*cot(x)/(2*(11-5*x) en el grado 2))/cot(x)
sqrt(cot(x)/(11-5x))(11-5x)((-1-cot(x)^2)/(2(11-5x))+5cot(x)/(2(11-5x)^2))/cot(x)
sqrt(cot(x)/(11-5x))(11-5x)((-1-cot(x)2)/(2(11-5x))+5cot(x)/(2(11-5x)2))/cot(x)
sqrtcotx/11-5x11-5x-1-cotx2/211-5x+5cotx/211-5x2/cotx
sqrtcotx/11-5x11-5x-1-cotx^2/211-5x+5cotx/211-5x^2/cotx
sqrt(cot(x) dividir por (11-5*x))*(11-5*x)*((-1-cot(x)^2) dividir por (2*(11-5*x))+5*cot(x) dividir por (2*(11-5*x)^2)) dividir por cot(x)
Expresiones semejantes
sqrt(cot(x)/(11-5*x))*(11-5*x)*((1-cot(x)^2)/(2*(11-5*x))+5*cot(x)/(2*(11-5*x)^2))/cot(x)
sqrt(cot(x)/(11-5*x))*(11+5*x)*((-1-cot(x)^2)/(2*(11-5*x))+5*cot(x)/(2*(11-5*x)^2))/cot(x)
sqrt(cot(x)/(11-5*x))*(11-5*x)*((-1+cot(x)^2)/(2*(11-5*x))+5*cot(x)/(2*(11-5*x)^2))/cot(x)
sqrt(cot(x)/(11-5*x))*(11-5*x)*((-1-cot(x)^2)/(2*(11+5*x))+5*cot(x)/(2*(11-5*x)^2))/cot(x)
sqrt(cot(x)/(11+5*x))*(11-5*x)*((-1-cot(x)^2)/(2*(11-5*x))+5*cot(x)/(2*(11-5*x)^2))/cot(x)
sqrt(cot(x)/(11-5*x))*(11-5*x)*((-1-cot(x)^2)/(2*(11-5*x))+5*cot(x)/(2*(11+5*x)^2))/cot(x)
sqrt(cot(x)/(11-5*x))*(11-5*x)*((-1-cot(x)^2)/(2*(11-5*x))-5*cot(x)/(2*(11-5*x)^2))/cot(x)
Expresiones con funciones
Raíz cuadrada sqrt
sqrt((a+x)/(a-x))+x*sqrt((a+x)/(a-x))*(a-x)*(1/(2*(a-x))+(a+x)/(2*(a-x)^2))/(a+x)
sqrt(a)/(x-36*sqrt(x))/9*(a)/(36*sqrt(x)-x)^2
sqrt(a)/(x-48*sqrt(x))/2*sqrt(a)/(48*sqrt(x)-x)
sqrt(m)/(m-16)-sqrt(m)/((4-sqrt(m))^2)
sqrt(cos(x))*exp(x)/sqrt(1-exp(2*x))-asin(e^x)*sin(x)/(2*sqrt(cos(x)))

Simplificación de expresiones/ Descomposición en fracciones simples/ sqrt(cot(x)/(11-5*x))*(11-5*x)*((-1-cot(x)^2)/(2*(11-5*x))+5*cot(x)/(2*(11-5*x)^2))/cot(x)

¿Cómo vas a descomponer esta sqrt(cot(x)/(11-5x))(11-5x)((-1-cot(x)^2)/(2(11-5x))+5cot(x)/(2(11-5*x)^2))/cot(x) expresión en fracciones?

Solución

Ha introducido [src]

    __________            /        2                   \
   /  cot(x)              |-1 - cot (x)      5*cot(x)  |
  /  -------- *(11 - 5*x)*|------------ + -------------|
\/   11 - 5*x             |2*(11 - 5*x)               2|
                          \               2*(11 - 5*x) /
--------------------------------------------------------
                         cot(x)

\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}} + \frac{- \cot^{2}{\left(x \right)} - 1}{2 \left(11 - 5 x\right)}\right)}{\cot{\left(x \right)}}

((sqrt(cot(x)/(11 - 5*x))*(11 - 5*x))*((-1 - cot(x)^2)/((2*(11 - 5*x))) + (5*cot(x))/((2*(11 - 5*x)^2))))/cot(x)

Simplificación general [src]

    ____________________                           
   /        -1           /        22        10*x  \
  /  ------------------ *|-5 + -------- - --------|
\/   (-11 + 5*x)*tan(x)  \     sin(2*x)   sin(2*x)/
---------------------------------------------------
                   2*(-11 + 5*x)

\frac{\sqrt{- \frac{1}{\left(5 x - 11\right) \tan{\left(x \right)}}} \left(- \frac{10 x}{\sin{\left(2 x \right)}} - 5 + \frac{22}{\sin{\left(2 x \right)}}\right)}{2 \left(5 x - 11\right)}

sqrt(-1/((-11 + 5*x)*tan(x)))*(-5 + 22/sin(2*x) - 10*x/sin(2*x))/(2*(-11 + 5*x))

Respuesta numérica [src]

(cot(x)/(11.0 - 5.0*x))^0.5*(11.0 - 5.0*x)*((-1.0 - cot(x)^2)/(22.0 - 10.0*x) + 0.0206611570247934*cot(x)/(1 - 0.454545454545455*x)^2)/cot(x)

(cot(x)/(11.0 - 5.0*x))^0.5*(11.0 - 5.0*x)*((-1.0 - cot(x)^2)/(22.0 - 10.0*x) + 0.0206611570247934*cot(x)/(1 - 0.454545454545455*x)^2)/cot(x)

Combinatoria [src]

     __________                                                   
    /  cot(x)   /            2                              2   \ 
-  /  -------- *\-11 - 11*cot (x) + 5*x + 5*cot(x) + 5*x*cot (x)/ 
 \/   11 - 5*x                                                    
------------------------------------------------------------------
                       2*(-11 + 5*x)*cot(x)

- \frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(5 x \cot^{2}{\left(x \right)} + 5 x - 11 \cot^{2}{\left(x \right)} + 5 \cot{\left(x \right)} - 11\right)}{2 \left(5 x - 11\right) \cot{\left(x \right)}}

-sqrt(cot(x)/(11 - 5*x))*(-11 - 11*cot(x)^2 + 5*x + 5*cot(x) + 5*x*cot(x)^2)/(2*(-11 + 5*x)*cot(x))

Denominador común [src]

           __________           __________         __________              __________       
          /  cot(x)            /  cot(x)          /  cot(x)               /  cot(x)         
  - 11*  /  --------  + 5*x*  /  --------  + 5*  /  -------- *cot(x)     /  -------- *cot(x)
       \/   11 - 5*x        \/   11 - 5*x      \/   11 - 5*x           \/   11 - 5*x        
- ------------------------------------------------------------------ - ---------------------
                       -22*cot(x) + 10*x*cot(x)                                  2

- \frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \cot{\left(x \right)}}{2} - \frac{5 x \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} + 5 \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \cot{\left(x \right)} - 11 \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}}}{10 x \cot{\left(x \right)} - 22 \cot{\left(x \right)}}

-(-11*sqrt(cot(x)/(11 - 5*x)) + 5*x*sqrt(cot(x)/(11 - 5*x)) + 5*sqrt(cot(x)/(11 - 5*x))*cot(x))/(-22*cot(x) + 10*x*cot(x)) - sqrt(cot(x)/(11 - 5*x))*cot(x)/2

Potencias [src]

    __________            /        2                   \
   /  cot(x)              |-1 - cot (x)      5*cot(x)  |
  /  -------- *(11 - 5*x)*|------------ + -------------|
\/   11 - 5*x             | 22 - 10*x                 2|
                          \               2*(11 - 5*x) /
--------------------------------------------------------
                         cot(x)

\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{- \cot^{2}{\left(x \right)} - 1}{22 - 10 x} + \frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}}\right)}{\cot{\left(x \right)}}

sqrt(cot(x)/(11 - 5*x))*(11 - 5*x)*((-1 - cot(x)^2)/(22 - 10*x) + 5*cot(x)/(2*(11 - 5*x)^2))/cot(x)

Denominador racional [src]

    __________                                                      
   /  cot(x)   /            2 /        2   \                       \
  /  -------- *\2*(11 - 5*x) *\-1 - cot (x)/ + 5*(22 - 10*x)*cot(x)/
\/   11 - 5*x                                                       
--------------------------------------------------------------------
                  2*(11 - 5*x)*(22 - 10*x)*cot(x)

\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(2 \left(11 - 5 x\right)^{2} \left(- \cot^{2}{\left(x \right)} - 1\right) + 5 \left(22 - 10 x\right) \cot{\left(x \right)}\right)}{2 \left(11 - 5 x\right) \left(22 - 10 x\right) \cot{\left(x \right)}}

sqrt(cot(x)/(11 - 5*x))*(2*(11 - 5*x)^2*(-1 - cot(x)^2) + 5*(22 - 10*x)*cot(x))/(2*(11 - 5*x)*(22 - 10*x)*cot(x))

Abrimos la expresión [src]

    __________            /        2                   \
   /    1                 |-1 - cot (x)      5*cot(x)  |
  /  -------- *(11 - 5*x)*|------------ + -------------|
\/   11 - 5*x             |2*(11 - 5*x)               2|
                          \               2*(11 - 5*x) /
--------------------------------------------------------
                         ________                       
                       \/ cot(x)

\frac{\left(11 - 5 x\right) \left(\frac{- \cot^{2}{\left(x \right)} - 1}{2 \left(11 - 5 x\right)} + \frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}}\right) \sqrt{\frac{1}{11 - 5 x}}}{\sqrt{\cot{\left(x \right)}}}

    __________            /        2                   \
   /  cot(x)              |-1 - cot (x)      5*cot(x)  |
  /  -------- *(11 - 5*x)*|------------ + -------------|
\/   11 - 5*x             |2*(11 - 5*x)               2|
                          \               2*(11 - 5*x) /
--------------------------------------------------------
                         cot(x)

\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{- \cot^{2}{\left(x \right)} - 1}{2 \left(11 - 5 x\right)} + \frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}}\right)}{\cot{\left(x \right)}}

            __________              __________             __________          __________                     __________             __________       
           /  cot(x)               /  cot(x)              /  cot(x)           /  cot(x)                      /  cot(x)              /  cot(x)         
     11*  /  --------        55*  /  --------     25*x*  /  --------    11*  /  -------- *cot(x)      5*x*  /  --------      5*x*  /  -------- *cot(x)
        \/   11 - 5*x           \/   11 - 5*x          \/   11 - 5*x       \/   11 - 5*x                  \/   11 - 5*x          \/   11 - 5*x        
- ----------------------- + ------------------- - ------------------- - ------------------------ + ----------------------- + -------------------------
  22*cot(x) - 10*x*cot(x)                     2                     2          22 - 10*x           22*cot(x) - 10*x*cot(x)           22 - 10*x        
                            242 - 220*x + 50*x    242 - 220*x + 50*x

- \frac{25 x \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}}}{50 x^{2} - 220 x + 242} + \frac{5 x \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}}}{- 10 x \cot{\left(x \right)} + 22 \cot{\left(x \right)}} + \frac{5 x \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \cot{\left(x \right)}}{22 - 10 x} + \frac{55 \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}}}{50 x^{2} - 220 x + 242} - \frac{11 \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}}}{- 10 x \cot{\left(x \right)} + 22 \cot{\left(x \right)}} - \frac{11 \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \cot{\left(x \right)}}{22 - 10 x}

-11*sqrt(cot(x)/(11 - 5*x))/(22*cot(x) - 10*x*cot(x)) + 55*sqrt(cot(x)/(11 - 5*x))/(242 - 220*x + 50*x^2) - 25*x*sqrt(cot(x)/(11 - 5*x))/(242 - 220*x + 50*x^2) - 11*sqrt(cot(x)/(11 - 5*x))*cot(x)/(22 - 10*x) + 5*x*sqrt(cot(x)/(11 - 5*x))/(22*cot(x) - 10*x*cot(x)) + 5*x*sqrt(cot(x)/(11 - 5*x))*cot(x)/(22 - 10*x)

Unión de expresiones racionales [src]

    __________                                       
   /  cot(x)   /           /        2   \           \
  /  -------- *\5*cot(x) + \-1 - cot (x)/*(11 - 5*x)/
\/   11 - 5*x                                        
-----------------------------------------------------
                 2*(11 - 5*x)*cot(x)

\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(\left(11 - 5 x\right) \left(- \cot^{2}{\left(x \right)} - 1\right) + 5 \cot{\left(x \right)}\right)}{2 \left(11 - 5 x\right) \cot{\left(x \right)}}

sqrt(cot(x)/(11 - 5*x))*(5*cot(x) + (-1 - cot(x)^2)*(11 - 5*x))/(2*(11 - 5*x)*cot(x))

Parte trigonométrica [src]

    __________            /       /       2   \       /       2   \\
   /  cot(x)              |5   11*\1 + cot (x)/   5*x*\1 + cot (x)/|
  /  -------- *(11 - 5*x)*|- - ---------------- + -----------------|
\/   11 - 5*x             \2       2*cot(x)            2*cot(x)    /
--------------------------------------------------------------------
                                       2                            
                            (-11 + 5*x)

\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{5 x \left(\cot^{2}{\left(x \right)} + 1\right)}{2 \cot{\left(x \right)}} - \frac{11 \left(\cot^{2}{\left(x \right)} + 1\right)}{2 \cot{\left(x \right)}} + \frac{5}{2}\right)}{\left(5 x - 11\right)^{2}}

                                                            /                                        2   \
                                                            |                           /       2/x\\    |
      ___________________                                   |                           |1 + tan |-||    |
     /         1             2/x\ /       2   \             |         5                 \        \2//    |
2*  /  ----------------- *tan |-|*\1 + tan (x)/*(22 - 10*x)*|-------------------- - ---------------------|
  \/   (11 - 5*x)*tan(x)      \2/                           |            2                           2/x\|
                                                            |2*(11 - 5*x) *tan(x)   4*(22 - 10*x)*tan |-||
                                                            \                                         \2//
----------------------------------------------------------------------------------------------------------
                                                       2                                                  
                                          /       2/x\\                                                   
                                          |1 + tan |-|| *tan(x)                                           
                                          \        \2//

\frac{2 \sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(22 - 10 x\right) \left(- \frac{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{4 \left(22 - 10 x\right) \tan^{2}{\left(\frac{x}{2} \right)}} + \frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(\frac{x}{2} \right)}}{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \tan{\left(x \right)}}

      ________________________                                                                
     /         csc(x)                     /                 /pi    \                 /pi    \\
    /  ---------------------- *(11 - 5*x)*|5 - 11*csc(x)*csc|-- - x| + 5*x*csc(x)*csc|-- - x||
   /                 /pi    \             \                 \2     /                 \2     //
  /    (11 - 5*x)*csc|-- - x|                                                                 
\/                   \2     /                                                                 
----------------------------------------------------------------------------------------------
                                                     2                                        
                                        2*(-11 + 5*x)

\frac{\sqrt{\frac{\csc{\left(x \right)}}{\left(11 - 5 x\right) \csc{\left(- x + \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(5 x \csc{\left(x \right)} \csc{\left(- x + \frac{\pi}{2} \right)} - 11 \csc{\left(x \right)} \csc{\left(- x + \frac{\pi}{2} \right)} + 5\right)}{2 \left(5 x - 11\right)^{2}}

                                          /          2                                  \            
                                          |       cos (x)                               |            
                                          |-1 - ------------                            |            
                                          |        2/    pi\                            |            
      ________________________            |     cos |x - --|                            |            
     /         cos(x)                     |         \    2 /            5*cos(x)        |    /    pi\
    /  ---------------------- *(11 - 5*x)*|----------------- + -------------------------|*cos|x - --|
   /                 /    pi\             |    22 - 10*x                   2    /    pi\|    \    2 /
  /    (11 - 5*x)*cos|x - --|             |                    2*(11 - 5*x) *cos|x - --||            
\/                   \    2 /             \                                     \    2 //            
-----------------------------------------------------------------------------------------------------
                                                cos(x)

\frac{\sqrt{\frac{\cos{\left(x \right)}}{\left(11 - 5 x\right) \cos{\left(x - \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(\frac{- \frac{\cos^{2}{\left(x \right)}}{\cos^{2}{\left(x - \frac{\pi}{2} \right)}} - 1}{22 - 10 x} + \frac{5 \cos{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \cos{\left(x - \frac{\pi}{2} \right)}}\right) \cos{\left(x - \frac{\pi}{2} \right)}}{\cos{\left(x \right)}}

    ___________________                     /      2                           \         
   /         1             2                |   csc (x)             5          |         
  /  ----------------- *sin (x)*(22 - 10*x)*|- --------- + --------------------|*csc(2*x)
\/   (11 - 5*x)*tan(x)                      |  22 - 10*x               2       |         
                                            \              2*(11 - 5*x) *tan(x)/

\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(22 - 10 x\right) \left(- \frac{\csc^{2}{\left(x \right)}}{22 - 10 x} + \frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}}\right) \sin^{2}{\left(x \right)} \csc{\left(2 x \right)}

    ___________________            /       /       2   \       /       2   \\
   /         1                     |5   11*\1 + tan (x)/   5*x*\1 + tan (x)/|
  /  ----------------- *(11 - 5*x)*|- - ---------------- + -----------------|
\/   (11 - 5*x)*tan(x)             \2       2*tan(x)            2*tan(x)    /
-----------------------------------------------------------------------------
                                            2                                
                                 (-11 + 5*x)

\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5 x \left(\tan^{2}{\left(x \right)} + 1\right)}{2 \tan{\left(x \right)}} - \frac{11 \left(\tan^{2}{\left(x \right)} + 1\right)}{2 \tan{\left(x \right)}} + \frac{5}{2}\right)}{\left(5 x - 11\right)^{2}}

                          /                                 2   \
                          |                    /       2/x\\    |
    __________            |                    |1 + cot |-||    |
   /  cot(x)              |   5*cot(x)         \        \2//    |
  /  -------- *(11 - 5*x)*|------------- - ---------------------|
\/   11 - 5*x             |            2                    2/x\|
                          |2*(11 - 5*x)    4*(22 - 10*x)*cot |-||
                          \                                  \2//
-----------------------------------------------------------------
                              cot(x)

\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(- \frac{\left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{4 \left(22 - 10 x\right) \cot^{2}{\left(\frac{x}{2} \right)}} + \frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}}\right)}{\cot{\left(x \right)}}

                                   /        1                          \       
                                   |-1 - -------                       |       
    ___________________            |        2                          |       
   /         1                     |     tan (x)            5          |       
  /  ----------------- *(11 - 5*x)*|------------ + --------------------|*tan(x)
\/   (11 - 5*x)*tan(x)             | 22 - 10*x                 2       |       
                                   \               2*(11 - 5*x) *tan(x)/

\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{-1 - \frac{1}{\tan^{2}{\left(x \right)}}}{22 - 10 x} + \frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}}\right) \tan{\left(x \right)}

      ___________________                                                                  
     /       /    pi\                 /     2/    pi\           /    pi\    \              
    /     sec|x - --|                 |  sec |x - --|      5*sec|x - --|    |              
   /         \    2 /                 |      \    2 /           \    2 /    |    /      pi\
  /    ----------------- *(22 - 10*x)*|- ------------ + --------------------|*sec|2*x - --|
\/     (11 - 5*x)*sec(x)              |   22 - 10*x                 2       |    \      2 /
                                      \                 2*(11 - 5*x) *sec(x)/              
-------------------------------------------------------------------------------------------
                                           2/    pi\                                       
                                        sec |x - --|                                       
                                            \    2 /

\frac{\sqrt{\frac{\sec{\left(x - \frac{\pi}{2} \right)}}{\left(11 - 5 x\right) \sec{\left(x \right)}}} \left(22 - 10 x\right) \left(- \frac{\sec^{2}{\left(x - \frac{\pi}{2} \right)}}{22 - 10 x} + \frac{5 \sec{\left(x - \frac{\pi}{2} \right)}}{2 \left(11 - 5 x\right)^{2} \sec{\left(x \right)}}\right) \sec{\left(2 x - \frac{\pi}{2} \right)}}{\sec^{2}{\left(x - \frac{\pi}{2} \right)}}

      ___________________                                                                
     /       /    pi\                                                                    
    /     sec|x - --|                                                                    
   /         \    2 /                /                 /    pi\                 /    pi\\
  /    ----------------- *(11 - 5*x)*|5 - 11*sec(x)*sec|x - --| + 5*x*sec(x)*sec|x - --||
\/     (11 - 5*x)*sec(x)             \                 \    2 /                 \    2 //
-----------------------------------------------------------------------------------------
                                                   2                                     
                                      2*(-11 + 5*x)

\frac{\sqrt{\frac{\sec{\left(x - \frac{\pi}{2} \right)}}{\left(11 - 5 x\right) \sec{\left(x \right)}}} \left(11 - 5 x\right) \left(5 x \sec{\left(x \right)} \sec{\left(x - \frac{\pi}{2} \right)} - 11 \sec{\left(x \right)} \sec{\left(x - \frac{\pi}{2} \right)} + 5\right)}{2 \left(5 x - 11\right)^{2}}

      ________________________                                               
     /         cos(x)                     /5         11             5*x     \
    /  ---------------------- *(11 - 5*x)*|- - ------------- + -------------|
   /                 /    pi\             |2      /      pi\      /      pi\|
  /    (11 - 5*x)*cos|x - --|             |    cos|2*x - --|   cos|2*x - --||
\/                   \    2 /             \       \      2 /      \      2 //
-----------------------------------------------------------------------------
                                            2                                
                                 (-11 + 5*x)

\frac{\sqrt{\frac{\cos{\left(x \right)}}{\left(11 - 5 x\right) \cos{\left(x - \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(\frac{5 x}{\cos{\left(2 x - \frac{\pi}{2} \right)}} + \frac{5}{2} - \frac{11}{\cos{\left(2 x - \frac{\pi}{2} \right)}}\right)}{\left(5 x - 11\right)^{2}}

    __________                                                                 
   /  cot(x)              /              2                   5*cot(x)  \       
  /  -------- *(11 - 5*x)*|- -------------------------- + -------------|*tan(x)
\/   11 - 5*x             |  (1 - cos(2*x))*(22 - 10*x)               2|       
                          \                               2*(11 - 5*x) /

\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}} - \frac{2}{\left(1 - \cos{\left(2 x \right)}\right) \left(22 - 10 x\right)}\right) \tan{\left(x \right)}

    ___________________                                               
   /         1                     /          11             5*x     \
  /  ----------------- *(11 - 5*x)*|5 - ------------- + -------------|
\/   (11 - 5*x)*tan(x)             \    cos(x)*sin(x)   cos(x)*sin(x)/
----------------------------------------------------------------------
                                         2                            
                            2*(-11 + 5*x)

\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5 x}{\sin{\left(x \right)} \cos{\left(x \right)}} + 5 - \frac{11}{\sin{\left(x \right)} \cos{\left(x \right)}}\right)}{2 \left(5 x - 11\right)^{2}}

                          /                       2                          2  \
                          |          /       2/x\\              /       2/x\\   |
    __________            |       11*|1 + cot |-||          5*x*|1 + cot |-||   |
   /  cot(x)              |          \        \2//              \        \2//   |
  /  -------- *(11 - 5*x)*|5 - ----------------------- + -----------------------|
\/   11 - 5*x             |      /        2/x\\    /x\     /        2/x\\    /x\|
                          |    2*|-1 + cot |-||*cot|-|   2*|-1 + cot |-||*cot|-||
                          \      \         \2//    \2/     \         \2//    \2//
---------------------------------------------------------------------------------
                                               2                                 
                                  2*(-11 + 5*x)

\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{5 x \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{2 \left(\cot^{2}{\left(\frac{x}{2} \right)} - 1\right) \cot{\left(\frac{x}{2} \right)}} + 5 - \frac{11 \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{2 \left(\cot^{2}{\left(\frac{x}{2} \right)} - 1\right) \cot{\left(\frac{x}{2} \right)}}\right)}{2 \left(5 x - 11\right)^{2}}

                                   /                      2                         2  \
                                   |         /       2/x\\             /       2/x\\   |
    ___________________            |      11*|1 + tan |-||         5*x*|1 + tan |-||   |
   /         1                     |         \        \2//             \        \2//   |
  /  ----------------- *(11 - 5*x)*|5 - ---------------------- + ----------------------|
\/   (11 - 5*x)*tan(x)             |      /       2/x\\    /x\     /       2/x\\    /x\|
                                   |    2*|1 - tan |-||*tan|-|   2*|1 - tan |-||*tan|-||
                                   \      \        \2//    \2/     \        \2//    \2//
----------------------------------------------------------------------------------------
                                                  2                                     
                                     2*(-11 + 5*x)

\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5 x \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{2 \left(1 - \tan^{2}{\left(\frac{x}{2} \right)}\right) \tan{\left(\frac{x}{2} \right)}} + 5 - \frac{11 \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{2 \left(1 - \tan^{2}{\left(\frac{x}{2} \right)}\right) \tan{\left(\frac{x}{2} \right)}}\right)}{2 \left(5 x - 11\right)^{2}}

      ________________________             /      2                                \         
     /         csc(x)                      |   csc (x)             5*csc(x)        |         
    /  ---------------------- *(22 - 10*x)*|- --------- + -------------------------|*csc(2*x)
   /                 /pi    \              |  22 - 10*x               2    /pi    \|         
  /    (11 - 5*x)*csc|-- - x|              |              2*(11 - 5*x) *csc|-- - x||         
\/                   \2     /              \                               \2     //         
---------------------------------------------------------------------------------------------
                                              2                                              
                                           csc (x)

\frac{\sqrt{\frac{\csc{\left(x \right)}}{\left(11 - 5 x\right) \csc{\left(- x + \frac{\pi}{2} \right)}}} \left(22 - 10 x\right) \left(- \frac{\csc^{2}{\left(x \right)}}{22 - 10 x} + \frac{5 \csc{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \csc{\left(- x + \frac{\pi}{2} \right)}}\right) \csc{\left(2 x \right)}}{\csc^{2}{\left(x \right)}}

      ________________________                                                                                
     /         cos(x)                     /             1                        5*cos(x)        \    /    pi\
    /  ---------------------- *(11 - 5*x)*|- ------------------------ + -------------------------|*cos|x - --|
   /                 /    pi\             |                 2/    pi\               2    /    pi\|    \    2 /
  /    (11 - 5*x)*cos|x - --|             |  (22 - 10*x)*cos |x - --|   2*(11 - 5*x) *cos|x - --||            
\/                   \    2 /             \                  \    2 /                    \    2 //            
--------------------------------------------------------------------------------------------------------------
                                                    cos(x)

\frac{\sqrt{\frac{\cos{\left(x \right)}}{\left(11 - 5 x\right) \cos{\left(x - \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(- \frac{1}{\left(22 - 10 x\right) \cos^{2}{\left(x - \frac{\pi}{2} \right)}} + \frac{5 \cos{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \cos{\left(x - \frac{\pi}{2} \right)}}\right) \cos{\left(x - \frac{\pi}{2} \right)}}{\cos{\left(x \right)}}

      ___________________                                                          
     /       /    pi\                /     2/    pi\           /    pi\    \       
    /     sec|x - --|                |  sec |x - --|      5*sec|x - --|    |       
   /         \    2 /                |      \    2 /           \    2 /    |       
  /    ----------------- *(11 - 5*x)*|- ------------ + --------------------|*sec(x)
\/     (11 - 5*x)*sec(x)             |   22 - 10*x                 2       |       
                                     \                 2*(11 - 5*x) *sec(x)/       
-----------------------------------------------------------------------------------
                                       /    pi\                                    
                                    sec|x - --|                                    
                                       \    2 /

\frac{\sqrt{\frac{\sec{\left(x - \frac{\pi}{2} \right)}}{\left(11 - 5 x\right) \sec{\left(x \right)}}} \left(11 - 5 x\right) \left(- \frac{\sec^{2}{\left(x - \frac{\pi}{2} \right)}}{22 - 10 x} + \frac{5 \sec{\left(x - \frac{\pi}{2} \right)}}{2 \left(11 - 5 x\right)^{2} \sec{\left(x \right)}}\right) \sec{\left(x \right)}}{\sec{\left(x - \frac{\pi}{2} \right)}}

                                     /        2/    pi\                       \       
                                     |     sec |x - --|                       |       
      ___________________            |         \    2 /                       |       
     /       /    pi\                |-1 - ------------           /    pi\    |       
    /     sec|x - --|                |          2            5*sec|x - --|    |       
   /         \    2 /                |       sec (x)              \    2 /    |       
  /    ----------------- *(11 - 5*x)*|----------------- + --------------------|*sec(x)
\/     (11 - 5*x)*sec(x)             |    22 - 10*x                   2       |       
                                     \                    2*(11 - 5*x) *sec(x)/       
--------------------------------------------------------------------------------------
                                        /    pi\                                      
                                     sec|x - --|                                      
                                        \    2 /

\frac{\sqrt{\frac{\sec{\left(x - \frac{\pi}{2} \right)}}{\left(11 - 5 x\right) \sec{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{-1 - \frac{\sec^{2}{\left(x - \frac{\pi}{2} \right)}}{\sec^{2}{\left(x \right)}}}{22 - 10 x} + \frac{5 \sec{\left(x - \frac{\pi}{2} \right)}}{2 \left(11 - 5 x\right)^{2} \sec{\left(x \right)}}\right) \sec{\left(x \right)}}{\sec{\left(x - \frac{\pi}{2} \right)}}

    ___________________                                                                        
   /         1                     /              2                         5          \       
  /  ----------------- *(11 - 5*x)*|- -------------------------- + --------------------|*tan(x)
\/   (11 - 5*x)*tan(x)             |  (1 - cos(2*x))*(22 - 10*x)               2       |       
                                   \                               2*(11 - 5*x) *tan(x)/

\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}} - \frac{2}{\left(1 - \cos{\left(2 x \right)}\right) \left(22 - 10 x\right)}\right) \tan{\left(x \right)}

    ___________________                                              
   /         1                                                       
  /  ----------------- *(11 - 5*x)*(5/2 - 11*csc(2*x) + 5*x*csc(2*x))
\/   (11 - 5*x)*tan(x)                                               
---------------------------------------------------------------------
                                        2                            
                             (-11 + 5*x)

\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(5 x \csc{\left(2 x \right)} - 11 \csc{\left(2 x \right)} + \frac{5}{2}\right)}{\left(5 x - 11\right)^{2}}

    ___________________                                                                        
   /         1                      /                                           2             \
  /  ----------------- *(44 - 20*x)*\10 - 11*tan(x) - 10*cos(x) - 5*(1 - cos(x))  + 5*x*tan(x)/
\/   (11 - 5*x)*tan(x)                                                                         
-----------------------------------------------------------------------------------------------
                                                             2                                 
                                 4*(1 - cos(2*x))*(-11 + 5*x)

\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(44 - 20 x\right) \left(5 x \tan{\left(x \right)} - 5 \left(1 - \cos{\left(x \right)}\right)^{2} - 10 \cos{\left(x \right)} - 11 \tan{\left(x \right)} + 10\right)}{4 \left(1 - \cos{\left(2 x \right)}\right) \left(5 x - 11\right)^{2}}

      ________________________            /      2                                \            
     /         csc(x)                     |   csc (x)             5*csc(x)        |    /pi    \
    /  ---------------------- *(11 - 5*x)*|- --------- + -------------------------|*csc|-- - x|
   /                 /pi    \             |  22 - 10*x               2    /pi    \|    \2     /
  /    (11 - 5*x)*csc|-- - x|             |              2*(11 - 5*x) *csc|-- - x||            
\/                   \2     /             \                               \2     //            
-----------------------------------------------------------------------------------------------
                                             csc(x)

\frac{\sqrt{\frac{\csc{\left(x \right)}}{\left(11 - 5 x\right) \csc{\left(- x + \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(- \frac{\csc^{2}{\left(x \right)}}{22 - 10 x} + \frac{5 \csc{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \csc{\left(- x + \frac{\pi}{2} \right)}}\right) \csc{\left(- x + \frac{\pi}{2} \right)}}{\csc{\left(x \right)}}

    __________                                     
   /  cot(x)              /       22        10*x  \
  /  -------- *(11 - 5*x)*|5 - -------- + --------|
\/   11 - 5*x             \    sin(2*x)   sin(2*x)/
---------------------------------------------------
                                2                  
                   2*(-11 + 5*x)

\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{10 x}{\sin{\left(2 x \right)}} + 5 - \frac{22}{\sin{\left(2 x \right)}}\right)}{2 \left(5 x - 11\right)^{2}}

                                                   /        2                             \
                                                   |     sin (2*x)                        |
                                                   |-1 - ---------                        |
           ____________________                    |          4                           |
  ___     /      sin(2*x)          2               |     4*sin (x)         5*sin(2*x)     |
\/ 2 *   /  ------------------ *sin (x)*(11 - 5*x)*|-------------- + ---------------------|
        /                 2                        |  22 - 10*x                  2    2   |
      \/    (11 - 5*x)*sin (x)                     \                 4*(11 - 5*x) *sin (x)/
-------------------------------------------------------------------------------------------
                                          sin(2*x)

\frac{\sqrt{2} \sqrt{\frac{\sin{\left(2 x \right)}}{\left(11 - 5 x\right) \sin^{2}{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{-1 - \frac{\sin^{2}{\left(2 x \right)}}{4 \sin^{4}{\left(x \right)}}}{22 - 10 x} + \frac{5 \sin{\left(2 x \right)}}{4 \left(11 - 5 x\right)^{2} \sin^{2}{\left(x \right)}}\right) \sin^{2}{\left(x \right)}}{\sin{\left(2 x \right)}}

           ____________________                                     
  ___     /      sin(2*x)                  /5      11        5*x   \
\/ 2 *   /  ------------------ *(11 - 5*x)*|- - -------- + --------|
        /                 2                \2   sin(2*x)   sin(2*x)/
      \/    (11 - 5*x)*sin (x)                                      
--------------------------------------------------------------------
                                        2                           
                           2*(-11 + 5*x)

\frac{\sqrt{2} \sqrt{\frac{\sin{\left(2 x \right)}}{\left(11 - 5 x\right) \sin^{2}{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5 x}{\sin{\left(2 x \right)}} + \frac{5}{2} - \frac{11}{\sin{\left(2 x \right)}}\right)}{2 \left(5 x - 11\right)^{2}}

    ___________________                                     
   /         1                     /       22        10*x  \
  /  ----------------- *(11 - 5*x)*|5 - -------- + --------|
\/   (11 - 5*x)*tan(x)             \    sin(2*x)   sin(2*x)/
------------------------------------------------------------
                                    2                       
                       2*(-11 + 5*x)

\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{10 x}{\sin{\left(2 x \right)}} + 5 - \frac{22}{\sin{\left(2 x \right)}}\right)}{2 \left(5 x - 11\right)^{2}}

    ___________________             /                           2                    2\
   /         1                      |              10     10*cos (x)   5*(1 - cos(x)) |
  /  ----------------- *(44 - 20*x)*|-11 + 5*x + ------ - ---------- - ---------------|
\/   (11 - 5*x)*tan(x)              \            tan(x)     sin(x)          tan(x)    /
---------------------------------------------------------------------------------------
                                             2                                         
                                4*(-11 + 5*x) *sin(2*x)

\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(44 - 20 x\right) \left(5 x - \frac{5 \left(1 - \cos{\left(x \right)}\right)^{2}}{\tan{\left(x \right)}} - 11 + \frac{10}{\tan{\left(x \right)}} - \frac{10 \cos^{2}{\left(x \right)}}{\sin{\left(x \right)}}\right)}{4 \left(5 x - 11\right)^{2} \sin{\left(2 x \right)}}

      ___________________                                                      
     /       /    pi\                                                          
    /     sec|x - --|                                                          
   /         \    2 /                /5         /      pi\          /      pi\\
  /    ----------------- *(11 - 5*x)*|- - 11*sec|2*x - --| + 5*x*sec|2*x - --||
\/     (11 - 5*x)*sec(x)             \2         \      2 /          \      2 //
-------------------------------------------------------------------------------
                                             2                                 
                                  (-11 + 5*x)

\frac{\sqrt{\frac{\sec{\left(x - \frac{\pi}{2} \right)}}{\left(11 - 5 x\right) \sec{\left(x \right)}}} \left(11 - 5 x\right) \left(5 x \sec{\left(2 x - \frac{\pi}{2} \right)} - 11 \sec{\left(2 x - \frac{\pi}{2} \right)} + \frac{5}{2}\right)}{\left(5 x - 11\right)^{2}}

           ____________________                                                                   
  ___     /      sin(2*x)          2               /           1                  5*sin(2*x)     \
\/ 2 *   /  ------------------ *sin (x)*(11 - 5*x)*|- ------------------- + ---------------------|
        /                 2                        |                 2                  2    2   |
      \/    (11 - 5*x)*sin (x)                     \  (22 - 10*x)*sin (x)   4*(11 - 5*x) *sin (x)/
--------------------------------------------------------------------------------------------------
                                             sin(2*x)

\frac{\sqrt{2} \sqrt{\frac{\sin{\left(2 x \right)}}{\left(11 - 5 x\right) \sin^{2}{\left(x \right)}}} \left(11 - 5 x\right) \left(- \frac{1}{\left(22 - 10 x\right) \sin^{2}{\left(x \right)}} + \frac{5 \sin{\left(2 x \right)}}{4 \left(11 - 5 x\right)^{2} \sin^{2}{\left(x \right)}}\right) \sin^{2}{\left(x \right)}}{\sin{\left(2 x \right)}}

      ________________________                                                                                  
     /         cos(x)             2/    pi\             /             1                        5*cos(x)        \
    /  ---------------------- *cos |x - --|*(22 - 10*x)*|- ------------------------ + -------------------------|
   /                 /    pi\      \    2 /             |                 2/    pi\               2    /    pi\|
  /    (11 - 5*x)*cos|x - --|                           |  (22 - 10*x)*cos |x - --|   2*(11 - 5*x) *cos|x - --||
\/                   \    2 /                           \                  \    2 /                    \    2 //
----------------------------------------------------------------------------------------------------------------
                                                    /      pi\                                                  
                                                 cos|2*x - --|                                                  
                                                    \      2 /

\frac{\sqrt{\frac{\cos{\left(x \right)}}{\left(11 - 5 x\right) \cos{\left(x - \frac{\pi}{2} \right)}}} \left(22 - 10 x\right) \left(- \frac{1}{\left(22 - 10 x\right) \cos^{2}{\left(x - \frac{\pi}{2} \right)}} + \frac{5 \cos{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \cos{\left(x - \frac{\pi}{2} \right)}}\right) \cos^{2}{\left(x - \frac{\pi}{2} \right)}}{\cos{\left(2 x - \frac{\pi}{2} \right)}}

                                   /        2                          \       
                                   |     cos (x)                       |       
                                   |-1 - -------                       |       
    ___________________            |        2                          |       
   /       cos(x)                  |     sin (x)         5*cos(x)      |       
  /  ----------------- *(11 - 5*x)*|------------ + --------------------|*sin(x)
\/   (11 - 5*x)*sin(x)             | 22 - 10*x                 2       |       
                                   \               2*(11 - 5*x) *sin(x)/       
-------------------------------------------------------------------------------
                                     cos(x)

\frac{\sqrt{\frac{\cos{\left(x \right)}}{\left(11 - 5 x\right) \sin{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{-1 - \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}}{22 - 10 x} + \frac{5 \cos{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \sin{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}}

    ___________________                                     
   /         1                     /5      11        5*x   \
  /  ----------------- *(11 - 5*x)*|- - -------- + --------|
\/   (11 - 5*x)*tan(x)             \2   sin(2*x)   sin(2*x)/
------------------------------------------------------------
                                   2                        
                        (-11 + 5*x)

\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5 x}{\sin{\left(2 x \right)}} + \frac{5}{2} - \frac{11}{\sin{\left(2 x \right)}}\right)}{\left(5 x - 11\right)^{2}}

    __________            /        2                   \
   /  cot(x)              |-1 - cot (x)      5*cot(x)  |
  /  -------- *(11 - 5*x)*|------------ + -------------|
\/   11 - 5*x             | 22 - 10*x                 2|
                          \               2*(11 - 5*x) /
--------------------------------------------------------
                         cot(x)

\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{- \cot^{2}{\left(x \right)} - 1}{22 - 10 x} + \frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}}\right)}{\cot{\left(x \right)}}

           ____________________                                                                    
  ___     /      sin(2*x)          2                /           1                  5*sin(2*x)     \
\/ 2 *   /  ------------------ *sin (x)*(22 - 10*x)*|- ------------------- + ---------------------|
        /                 2                         |                 2                  2    2   |
      \/    (11 - 5*x)*sin (x)                      \  (22 - 10*x)*sin (x)   4*(11 - 5*x) *sin (x)/
---------------------------------------------------------------------------------------------------
                                             2*sin(2*x)

\frac{\sqrt{2} \sqrt{\frac{\sin{\left(2 x \right)}}{\left(11 - 5 x\right) \sin^{2}{\left(x \right)}}} \left(22 - 10 x\right) \left(- \frac{1}{\left(22 - 10 x\right) \sin^{2}{\left(x \right)}} + \frac{5 \sin{\left(2 x \right)}}{4 \left(11 - 5 x\right)^{2} \sin^{2}{\left(x \right)}}\right) \sin^{2}{\left(x \right)}}{2 \sin{\left(2 x \right)}}

           ____________________                                                         
  ___     /      sin(2*x)                  /            11                  5*x        \
\/ 2 *   /  ------------------ *(11 - 5*x)*|5 - ------------------ + ------------------|
        /                 2                |              /    pi\             /    pi\|
      \/    (11 - 5*x)*sin (x)             |    sin(x)*sin|x + --|   sin(x)*sin|x + --||
                                           \              \    2 /             \    2 //
----------------------------------------------------------------------------------------
                                                  2                                     
                                     4*(-11 + 5*x)

\frac{\sqrt{2} \sqrt{\frac{\sin{\left(2 x \right)}}{\left(11 - 5 x\right) \sin^{2}{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5 x}{\sin{\left(x \right)} \sin{\left(x + \frac{\pi}{2} \right)}} + 5 - \frac{11}{\sin{\left(x \right)} \sin{\left(x + \frac{\pi}{2} \right)}}\right)}{4 \left(5 x - 11\right)^{2}}

    ___________________                                                                 
   /         1                     /           1                     5          \       
  /  ----------------- *(11 - 5*x)*|- ------------------- + --------------------|*tan(x)
\/   (11 - 5*x)*tan(x)             |                 2                  2       |       
                                   \  (22 - 10*x)*sin (x)   2*(11 - 5*x) *tan(x)/

\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(- \frac{1}{\left(22 - 10 x\right) \sin^{2}{\left(x \right)}} + \frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}}\right) \tan{\left(x \right)}

    __________                                           
   /  cot(x)              /            5*sin(2*x)\       
  /  -------- *(11 - 5*x)*|-11 + 5*x + ----------|*tan(x)
\/   11 - 5*x             \                2     /       
---------------------------------------------------------
                                         2               
               (1 - cos(2*x))*(-11 + 5*x)

\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(5 x + \frac{5 \sin{\left(2 x \right)}}{2} - 11\right) \tan{\left(x \right)}}{\left(1 - \cos{\left(2 x \right)}\right) \left(5 x - 11\right)^{2}}

                                   /        2                          \       
                                   |     csc (x)                       |       
                                   |-1 - -------                       |       
    ___________________            |        2                          |       
   /       csc(x)                  |     sec (x)         5*csc(x)      |       
  /  ----------------- *(11 - 5*x)*|------------ + --------------------|*sec(x)
\/   (11 - 5*x)*sec(x)             | 22 - 10*x                 2       |       
                                   \               2*(11 - 5*x) *sec(x)/       
-------------------------------------------------------------------------------
                                     csc(x)

\frac{\sqrt{\frac{\csc{\left(x \right)}}{\left(11 - 5 x\right) \sec{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{- \frac{\csc^{2}{\left(x \right)}}{\sec^{2}{\left(x \right)}} - 1}{22 - 10 x} + \frac{5 \csc{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \sec{\left(x \right)}}\right) \sec{\left(x \right)}}{\csc{\left(x \right)}}

    ___________________                                                                   
   /         1             2                /           1                     5          \
  /  ----------------- *sin (x)*(22 - 10*x)*|- ------------------- + --------------------|
\/   (11 - 5*x)*tan(x)                      |                 2                  2       |
                                            \  (22 - 10*x)*sin (x)   2*(11 - 5*x) *tan(x)/
------------------------------------------------------------------------------------------
                                         sin(2*x)

\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(22 - 10 x\right) \left(- \frac{1}{\left(22 - 10 x\right) \sin^{2}{\left(x \right)}} + \frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}}\right) \sin^{2}{\left(x \right)}}{\sin{\left(2 x \right)}}

    __________                                     
   /  cot(x)              /5      11        5*x   \
  /  -------- *(11 - 5*x)*|- - -------- + --------|
\/   11 - 5*x             \2   sin(2*x)   sin(2*x)/
---------------------------------------------------
                               2                   
                    (-11 + 5*x)

\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{5 x}{\sin{\left(2 x \right)}} + \frac{5}{2} - \frac{11}{\sin{\left(2 x \right)}}\right)}{\left(5 x - 11\right)^{2}}

      ________________________                                                         
     /         cos(x)                     /            11                  5*x        \
    /  ---------------------- *(11 - 5*x)*|5 - ------------------ + ------------------|
   /                 /    pi\             |              /    pi\             /    pi\|
  /    (11 - 5*x)*cos|x - --|             |    cos(x)*cos|x - --|   cos(x)*cos|x - --||
\/                   \    2 /             \              \    2 /             \    2 //
---------------------------------------------------------------------------------------
                                                  2                                    
                                     2*(-11 + 5*x)

\frac{\sqrt{\frac{\cos{\left(x \right)}}{\left(11 - 5 x\right) \cos{\left(x - \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(\frac{5 x}{\cos{\left(x \right)} \cos{\left(x - \frac{\pi}{2} \right)}} + 5 - \frac{11}{\cos{\left(x \right)} \cos{\left(x - \frac{\pi}{2} \right)}}\right)}{2 \left(5 x - 11\right)^{2}}

                                                   /                                 2   \
                                                   |                    /       2/x\\    |
      __________                                   |                    |1 + cot |-||    |
     /  cot(x)      2/x\ /       2   \             |   5*cot(x)         \        \2//    |
2*  /  -------- *cot |-|*\1 + cot (x)/*(22 - 10*x)*|------------- - ---------------------|
  \/   11 - 5*x      \2/                           |            2                    2/x\|
                                                   |2*(11 - 5*x)    4*(22 - 10*x)*cot |-||
                                                   \                                  \2//
------------------------------------------------------------------------------------------
                                               2                                          
                                  /       2/x\\                                           
                                  |1 + cot |-|| *cot(x)                                   
                                  \        \2//

\frac{2 \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(22 - 10 x\right) \left(- \frac{\left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{4 \left(22 - 10 x\right) \cot^{2}{\left(\frac{x}{2} \right)}} + \frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}}\right) \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(\frac{x}{2} \right)}}{\left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \cot{\left(x \right)}}

                                   /                                        2   \       
                                   |                           /       2/x\\    |       
    ___________________            |                           |1 + tan |-||    |       
   /         1                     |         5                 \        \2//    |       
  /  ----------------- *(11 - 5*x)*|-------------------- - ---------------------|*tan(x)
\/   (11 - 5*x)*tan(x)             |            2                           2/x\|       
                                   |2*(11 - 5*x) *tan(x)   4*(22 - 10*x)*tan |-||       
                                   \                                         \2//

\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(- \frac{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{4 \left(22 - 10 x\right) \tan^{2}{\left(\frac{x}{2} \right)}} + \frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}}\right) \tan{\left(x \right)}

                                          /          2                                  \            
                                          |       csc (x)                               |            
                                          |-1 - ------------                            |            
                                          |        2/pi    \                            |            
      ________________________            |     csc |-- - x|                            |            
     /         csc(x)                     |         \2     /            5*csc(x)        |    /pi    \
    /  ---------------------- *(11 - 5*x)*|----------------- + -------------------------|*csc|-- - x|
   /                 /pi    \             |    22 - 10*x                   2    /pi    \|    \2     /
  /    (11 - 5*x)*csc|-- - x|             |                    2*(11 - 5*x) *csc|-- - x||            
\/                   \2     /             \                                     \2     //            
-----------------------------------------------------------------------------------------------------
                                                csc(x)

\frac{\sqrt{\frac{\csc{\left(x \right)}}{\left(11 - 5 x\right) \csc{\left(- x + \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(\frac{- \frac{\csc^{2}{\left(x \right)}}{\csc^{2}{\left(- x + \frac{\pi}{2} \right)}} - 1}{22 - 10 x} + \frac{5 \csc{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \csc{\left(- x + \frac{\pi}{2} \right)}}\right) \csc{\left(- x + \frac{\pi}{2} \right)}}{\csc{\left(x \right)}}

      ________________________                                              
     /         csc(x)                                                       
    /  ---------------------- *(11 - 5*x)*(5/2 - 11*csc(2*x) + 5*x*csc(2*x))
   /                 /pi    \                                               
  /    (11 - 5*x)*csc|-- - x|                                               
\/                   \2     /                                               
----------------------------------------------------------------------------
                                           2                                
                                (-11 + 5*x)

\frac{\sqrt{\frac{\csc{\left(x \right)}}{\left(11 - 5 x\right) \csc{\left(- x + \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(5 x \csc{\left(2 x \right)} - 11 \csc{\left(2 x \right)} + \frac{5}{2}\right)}{\left(5 x - 11\right)^{2}}

sqrt(csc(x)/((11 - 5*x)*csc(pi/2 - x)))*(11 - 5*x)*(5/2 - 11*csc(2*x) + 5*x*csc(2*x))/(-11 + 5*x)^2

Compilar la expresión [src]

    __________            /        2                   \
   /  cot(x)              |-1 - cot (x)      5*cot(x)  |
  /  -------- *(11 - 5*x)*|------------ + -------------|
\/   11 - 5*x             | 22 - 10*x                 2|
                          \               2*(11 - 5*x) /
--------------------------------------------------------
                         cot(x)

\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{- \cot^{2}{\left(x \right)} - 1}{22 - 10 x} + \frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}}\right)}{\cot{\left(x \right)}}

sqrt(cot(x)/(11 - 5*x))*(11 - 5*x)*((-1 - cot(x)^2)/(22 - 10*x) + 5*cot(x)/(2*(11 - 5*x)^2))/cot(x)

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¿Cómo vas a descomponer esta sqrt(cot(x)/(11-5*x))*(11-5*x)*((-1-cot(x)^2)/(2*(11-5*x))+5*cot(x)/(2*(11-5*x)^2))/cot(x) expresión en fracciones?

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¿Cómo vas a descomponer esta sqrt(cot(x)/(11-5x))(11-5x)((-1-cot(x)^2)/(2(11-5x))+5cot(x)/(2(11-5*x)^2))/cot(x) expresión en fracciones?