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-((-1+x^2/(1+x^2))/sqrt(1+x^2)+(1+x/sqrt(1+x^2))^2/(x+sqrt(1+x^2)))/(x+sqrt(1+x^2))
((z-1)*((z*f*r*f)/(1+(z-1)*c*f)))/(z*r)
y+y/x-y+1/(x^2)-x
y/(y+3)^2-y/(y^2)-9
Factorizar el polinomio:
z^2+2*z+26
z^2-169/196
y+y^2/2
y*y/x-x^2+x*y/x-y^2
Descomponer al cuadrado:
y^4-y^2-13
y^4-9*y^2+5
-y^4-9*y^2-4
-y^4+y^2+1
Expresiones idénticas
cos(atan(x))/sqrt(uno -x^ dos)-x*asin(x)/(uno +x^ dos)^(tres / dos)
coseno de ( arco tangente de gente de (x)) dividir por raíz cuadrada de (1 menos x al cuadrado ) menos x multiplicar por ar coseno de eno de (x) dividir por (1 más x al cuadrado ) en el grado (3 dividir por 2)
coseno de ( arco tangente de gente de (x)) dividir por raíz cuadrada de (uno menos x en el grado dos) menos x multiplicar por ar coseno de eno de (x) dividir por (uno más x en el grado dos) en el grado (tres dividir por dos)
cos(atan(x))/√(1-x^2)-x*asin(x)/(1+x^2)^(3/2)
cos(atan(x))/sqrt(1-x2)-x*asin(x)/(1+x2)(3/2)
cosatanx/sqrt1-x2-x*asinx/1+x23/2
cos(atan(x))/sqrt(1-x²)-x*asin(x)/(1+x²)^(3/2)
cos(atan(x))/sqrt(1-x en el grado 2)-x*asin(x)/(1+x en el grado 2) en el grado (3/2)
cos(atan(x))/sqrt(1-x^2)-xasin(x)/(1+x^2)^(3/2)
cos(atan(x))/sqrt(1-x2)-xasin(x)/(1+x2)(3/2)
cosatanx/sqrt1-x2-xasinx/1+x23/2
cosatanx/sqrt1-x^2-xasinx/1+x^2^3/2
cos(atan(x)) dividir por sqrt(1-x^2)-x*asin(x) dividir por (1+x^2)^(3 dividir por 2)
Expresiones semejantes
cos(atan(x))/sqrt(1-x^2)+x*asin(x)/(1+x^2)^(3/2)
cos(atan(x))/sqrt(1-x^2)-x*asin(x)/(1-x^2)^(3/2)
cos(atan(x))/sqrt(1+x^2)-x*asin(x)/(1+x^2)^(3/2)
cos(arctan(x))/sqrt(1-x^2)-x*arcsin(x)/(1+x^2)^(3/2)
cos(arctanx)/sqrt(1-x^2)-x*arcsinx/(1+x^2)^(3/2)
Expresiones con funciones
Coseno cos
cos(x)/(1+tan(x))+(-1-tan(x)^2)*sin(x)/(1+tan(x))^2
cos((7pi/24)+pi/8)/(√6*sin(pi/10+(3pi)/20))
cos(x)^(2/x)*(-2*log(cos(x))/x^2-2*sin(x)/(x*cos(x)))
cos(pi*x)*exp(x)/(1+pi^2)+pi*exp(x)*sin(pi*x)/(1+pi^2)
cos(-x)*cos(pi+x)/(sin(-x)*sin(pi/2+x))
Arcotangente arctan
atan(x)*log(8)+x*log(8)/(1+x^2)
atan(x)^(log(atan(x))/2)*log(atan(x))/((1+x^2)*atan(x))
atan(x)/2-(x+11)/(2+2*x^2)
atan(sqrt(x))/(pi+2)+(x+1)/(2*sqrt(x)*(1+x)*(pi+2))
atan(x/10)/5-x/(100+x^2)
Raíz cuadrada sqrt
sqrt((1-x)/(1+x))*(1+x)*(-1/(2*(1+x))-(1-x)/(2*(1+x)^2))/(1-x)
sqrt(x)*(-3+5*x^4)+(x^5-3*x)/(2*sqrt(x))
sqrt(x*sqrt(a)/(5*x-3)^4)*(5*x-3)^4*(sqrt(a)/(2*(5*x-3)^4)-10*x*sqrt(a)/(5*x-3)^5)/(sqrt(a)*x)
sqrt(6-x)/(x^2-9)
sqrt((6,7×10^-11)×(7,3×10^22)/(17×10^5)+10^5)
Arcoseno arcsin
asin(x/(sqrt(2)*|x-1|)-sqrt(2)/|x-1|)
asin(x)/2-1/(2*sqrt(1-x))+sqrt(x)*(sqrt(x)/sqrt(1-x^2)+asin(x)/(2*sqrt(x)))
asinh(x/(sqrt(3)*|x+1|)-1/(sqrt(3)*|x+1|))
asinh((3*x)/(sqrt(7)*|x+1|)-5/(sqrt(7)*|x+1|))/2
asinh(x/(sqrt(3)*|x|)-2/(sqrt(3)*|x|))-asinh((2*x-1)/sqrt(3))/2+sqrt(x^2-x+1)

Simplificación de expresiones/ Descomposición en fracciones simples/ cos(atan(x))/sqrt(1-x^2)-x*asin(x)/(1+x^2)^(3/2)

¿Cómo vas a descomponer esta cos(atan(x))/sqrt(1-x^2)-x*asin(x)/(1+x^2)^(3/2) expresión en fracciones?

Solución

Ha introducido [src]

cos(atan(x))    x*asin(x) 
------------ - -----------
   ________            3/2
  /      2     /     2\   
\/  1 - x      \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\cos{\left(\operatorname{atan}{\left(x \right)} \right)}}{\sqrt{1 - x^{2}}}

cos(atan(x))/sqrt(1 - x^2) - x*asin(x)/(1 + x^2)^(3/2)

Simplificación general [src]

              ________        
     2       /      2         
1 + x  - x*\/  1 - x  *asin(x)
------------------------------
           3/2    ________    
   /     2\      /      2     
   \1 + x /   *\/  1 - x

\frac{x^{2} - x \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)} + 1}{\sqrt{1 - x^{2}} \left(x^{2} + 1\right)^{\frac{3}{2}}}

(1 + x^2 - x*sqrt(1 - x^2)*asin(x))/((1 + x^2)^(3/2)*sqrt(1 - x^2))

Respuesta numérica [src]

(1.0 - x^2)^(-0.5)*cos(atan(x)) - x*(1.0 + x^2)^(-1.5)*asin(x)

(1.0 - x^2)^(-0.5)*cos(atan(x)) - x*(1.0 + x^2)^(-1.5)*asin(x)

Unión de expresiones racionales [src]

              ________        
     2       /      2         
1 + x  - x*\/  1 - x  *asin(x)
------------------------------
           3/2    ________    
   /     2\      /      2     
   \1 + x /   *\/  1 - x

\frac{x^{2} - x \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)} + 1}{\sqrt{1 - x^{2}} \left(x^{2} + 1\right)^{\frac{3}{2}}}

(1 + x^2 - x*sqrt(1 - x^2)*asin(x))/((1 + x^2)^(3/2)*sqrt(1 - x^2))

Potencias [src]

          1               x*asin(x) 
---------------------- - -----------
   ___________________           3/2
  / /     2\ /     2\    /     2\   
\/  \1 + x /*\1 - x /    \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{1}{\sqrt{\left(1 - x^{2}\right) \left(x^{2} + 1\right)}}

 I*atan(x)    -I*atan(x)              
e            e                        
---------- + -----------              
    2             2         x*asin(x) 
------------------------ - -----------
         ________                  3/2
        /      2           /     2\   
      \/  1 - x            \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\frac{e^{i \operatorname{atan}{\left(x \right)}}}{2} + \frac{e^{- i \operatorname{atan}{\left(x \right)}}}{2}}{\sqrt{1 - x^{2}}}

           1               x*asin(x) 
----------------------- - -----------
   ________    ________           3/2
  /      2    /      2    /     2\   
\/  1 + x  *\/  1 - x     \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{1}{\sqrt{1 - x^{2}} \sqrt{x^{2} + 1}}

1/(sqrt(1 + x^2)*sqrt(1 - x^2)) - x*asin(x)/(1 + x^2)^(3/2)

Combinatoria [src]

                ________         
       2       /      2          
  1 + x  - x*\/  1 - x  *asin(x) 
---------------------------------
                              3/2
  ___________________ /     2\   
\/ -(1 + x)*(-1 + x) *\1 + x /

\frac{x^{2} - x \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)} + 1}{\sqrt{- \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 1\right)^{\frac{3}{2}}}

(1 + x^2 - x*sqrt(1 - x^2)*asin(x))/(sqrt(-(1 + x)*(-1 + x))*(1 + x^2)^(3/2))

Denominador común [src]

   ________                      ________                     ________        
  /      2                  2   /      2                     /      2         
\/  1 + x  *cos(atan(x)) + x *\/  1 + x  *cos(atan(x)) - x*\/  1 - x  *asin(x)
------------------------------------------------------------------------------
                ________    ________         ________    ________             
               /      2    /      2     2   /      2    /      2              
             \/  1 + x  *\/  1 - x   + x *\/  1 + x  *\/  1 - x

\frac{x^{2} \sqrt{x^{2} + 1} \cos{\left(\operatorname{atan}{\left(x \right)} \right)} - x \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)} + \sqrt{x^{2} + 1} \cos{\left(\operatorname{atan}{\left(x \right)} \right)}}{x^{2} \sqrt{1 - x^{2}} \sqrt{x^{2} + 1} + \sqrt{1 - x^{2}} \sqrt{x^{2} + 1}}

(sqrt(1 + x^2)*cos(atan(x)) + x^2*sqrt(1 + x^2)*cos(atan(x)) - x*sqrt(1 - x^2)*asin(x))/(sqrt(1 + x^2)*sqrt(1 - x^2) + x^2*sqrt(1 + x^2)*sqrt(1 - x^2))

Denominador racional [src]

     ________    ________        ________                 ________    ________         ________        
    /      2    /      2        /      2             2   /      2    /      2     3   /      2         
- \/  1 + x  *\/  1 - x   + x*\/  1 + x  *asin(x) - x *\/  1 + x  *\/  1 - x   - x *\/  1 + x  *asin(x)
-------------------------------------------------------------------------------------------------------
                                       /      2\ /     4      2\                                       
                                       \-1 + x /*\1 + x  + 2*x /

\frac{- x^{3} \sqrt{x^{2} + 1} \operatorname{asin}{\left(x \right)} - x^{2} \sqrt{1 - x^{2}} \sqrt{x^{2} + 1} + x \sqrt{x^{2} + 1} \operatorname{asin}{\left(x \right)} - \sqrt{1 - x^{2}} \sqrt{x^{2} + 1}}{\left(x^{2} - 1\right) \left(x^{4} + 2 x^{2} + 1\right)}

(-sqrt(1 + x^2)*sqrt(1 - x^2) + x*sqrt(1 + x^2)*asin(x) - x^2*sqrt(1 + x^2)*sqrt(1 - x^2) - x^3*sqrt(1 + x^2)*asin(x))/((-1 + x^2)*(1 + x^4 + 2*x^2))

Abrimos la expresión [src]

           1                       x*asin(x)          
----------------------- - ----------------------------
   ________    ________      ________         ________
  /      2    /      2      /      2     2   /      2 
\/  1 + x  *\/  1 - x     \/  1 + x   + x *\/  1 + x

- \frac{x \operatorname{asin}{\left(x \right)}}{x^{2} \sqrt{x^{2} + 1} + \sqrt{x^{2} + 1}} + \frac{1}{\sqrt{1 - x^{2}} \sqrt{x^{2} + 1}}

1/(sqrt(1 + x^2)*sqrt(1 - x^2)) - x*asin(x)/(sqrt(1 + x^2) + x^2*sqrt(1 + x^2))

Parte trigonométrica [src]

                  /       2/atan(x)   pi\\              
                  |    cos |------- - --||              
/         1     \ |        \   2      2 /|              
|1 + -----------|*|1 - ------------------|              
|       ________| |         2/atan(x)\   |              
|      /      2 | |      cos |-------|   |              
\    \/  1 + x  / \          \   2   /   /    x*asin(x) 
------------------------------------------ - -----------
                   ________                          3/2
                  /      2                   /     2\   
              2*\/  1 - x                    \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(1 + \frac{1}{\sqrt{x^{2} + 1}}\right) \left(- \frac{\cos^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} - \frac{\pi}{2} \right)}}{\cos^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)}} + 1\right)}{2 \sqrt{1 - x^{2}}}

                  /         4/atan(x)\ /     2\\              
                  |    4*sin |-------|*\1 + x /|              
/         1     \ |          \   2   /         |              
|1 + -----------|*|1 - ------------------------|              
|       ________| |                2           |              
|      /      2 | \               x            /              
\    \/  1 + x  /                                   x*asin(x) 
------------------------------------------------ - -----------
                      ________                             3/2
                     /      2                      /     2\   
                 2*\/  1 - x                       \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(1 - \frac{4 \left(x^{2} + 1\right) \sin^{4}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)}}{x^{2}}\right) \left(1 + \frac{1}{\sqrt{x^{2} + 1}}\right)}{2 \sqrt{1 - x^{2}}}

                  /          2/atan(x)\   \              
                  |       cos |-------|   |              
/         1     \ |           \   2   /   |              
|1 - -----------|*|-1 + ------------------|              
|       ________| |        2/atan(x)   pi\|              
|      /      2 | |     cos |------- - --||              
\    \/  1 + x  / \         \   2      2 //    x*asin(x) 
------------------------------------------- - -----------
                    ________                          3/2
                   /      2                   /     2\   
               2*\/  1 - x                    \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(-1 + \frac{\cos^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)}}{\cos^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} - \frac{\pi}{2} \right)}}\right) \left(1 - \frac{1}{\sqrt{x^{2} + 1}}\right)}{2 \sqrt{1 - x^{2}}}

/         1     \ /          1      \              
|1 + -----------|*|1 - -------------|              
|       ________| |       2/atan(x)\|              
|      /      2 | |    cot |-------||              
\    \/  1 + x  / \        \   2   //    x*asin(x) 
------------------------------------- - -----------
                 ________                       3/2
                /      2                /     2\   
            2*\/  1 - x                 \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(1 + \frac{1}{\sqrt{x^{2} + 1}}\right) \left(1 - \frac{1}{\cot^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)}}\right)}{2 \sqrt{1 - x^{2}}}

              2/atan(x)\                     
       1 - tan |-------|                     
               \   2   /           x*asin(x) 
------------------------------- - -----------
                       ________           3/2
/       2/atan(x)\\   /      2    /     2\   
|1 + tan |-------||*\/  1 - x     \1 + x /   
\        \   2   //

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{1 - \tan^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)}}{\sqrt{1 - x^{2}} \left(\tan^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)} + 1\right)}

/         1     \ /        2/atan(x)\\              
|1 - -----------|*|-1 + cot |-------||              
|       ________| \         \   2   //              
|      /      2 |                                   
\    \/  1 + x  /                         x*asin(x) 
-------------------------------------- - -----------
                 ________                        3/2
                /      2                 /     2\   
            2*\/  1 - x                  \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(1 - \frac{1}{\sqrt{x^{2} + 1}}\right) \left(\cot^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)} - 1\right)}{2 \sqrt{1 - x^{2}}}

/         1     \ /           1      \              
|1 - -----------|*|-1 + -------------|              
|       ________| |        2/atan(x)\|              
|      /      2 | |     tan |-------||              
\    \/  1 + x  / \         \   2   //    x*asin(x) 
-------------------------------------- - -----------
                 ________                        3/2
                /      2                 /     2\   
            2*\/  1 - x                  \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(-1 + \frac{1}{\tan^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)}}\right) \left(1 - \frac{1}{\sqrt{x^{2} + 1}}\right)}{2 \sqrt{1 - x^{2}}}

                  /       ________                  \              
                  |      /      2  /         1     \|              
                  |    \/  1 + x  *|1 - -----------||              
                  |                |       ________||              
                  |                |      /      2 ||              
/         1     \ |                \    \/  1 + x  /|              
|1 + -----------|*|1 - -----------------------------|              
|       ________| |                  ________       |              
|      /      2 | |                 /      2        |              
\    \/  1 + x  / \           1 + \/  1 + x         /    x*asin(x) 
----------------------------------------------------- - -----------
                         ________                               3/2
                        /      2                        /     2\   
                    2*\/  1 - x                         \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(1 + \frac{1}{\sqrt{x^{2} + 1}}\right) \left(- \frac{\left(1 - \frac{1}{\sqrt{x^{2} + 1}}\right) \sqrt{x^{2} + 1}}{\sqrt{x^{2} + 1} + 1} + 1\right)}{2 \sqrt{1 - x^{2}}}

                  /         2/atan(x)\   \              
                  |      sec |-------|   |              
/         1     \ |          \   2   /   |              
|1 + -----------|*|1 - ------------------|              
|       ________| |       2/atan(x)   pi\|              
|      /      2 | |    sec |------- - --||              
\    \/  1 + x  / \        \   2      2 //    x*asin(x) 
------------------------------------------ - -----------
                   ________                          3/2
                  /      2                   /     2\   
              2*\/  1 - x                    \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(1 - \frac{\sec^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)}}{\sec^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} - \frac{\pi}{2} \right)}}\right) \left(1 + \frac{1}{\sqrt{x^{2} + 1}}\right)}{2 \sqrt{1 - x^{2}}}

                  /          2/atan(x)\   \              
                  |       csc |-------|   |              
/         1     \ |           \   2   /   |              
|1 - -----------|*|-1 + ------------------|              
|       ________| |        2/pi   atan(x)\|              
|      /      2 | |     csc |-- - -------||              
\    \/  1 + x  / \         \2       2   //    x*asin(x) 
------------------------------------------- - -----------
                    ________                          3/2
                   /      2                   /     2\   
               2*\/  1 - x                    \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(-1 + \frac{\csc^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)}}{\csc^{2}{\left(- \frac{\operatorname{atan}{\left(x \right)}}{2} + \frac{\pi}{2} \right)}}\right) \left(1 - \frac{1}{\sqrt{x^{2} + 1}}\right)}{2 \sqrt{1 - x^{2}}}

           1               x*asin(x) 
----------------------- - -----------
   ________    ________           3/2
  /      2    /      2    /     2\   
\/  1 + x  *\/  1 - x     \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{1}{\sqrt{1 - x^{2}} \sqrt{x^{2} + 1}}

               2/atan(x)\                    
       -1 + cot |-------|                    
                \   2   /          x*asin(x) 
------------------------------- - -----------
                       ________           3/2
/       2/atan(x)\\   /      2    /     2\   
|1 + cot |-------||*\/  1 - x     \1 + x /   
\        \   2   //

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\cot^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)} - 1}{\sqrt{1 - x^{2}} \left(\cot^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)} + 1\right)}

                  /               2        \              
/         1     \ |              x         |              
|1 - -----------|*|-1 + -------------------|              
|       ________| |                       2|              
|      /      2 | |     /        ________\ |              
\    \/  1 + x  / |     |       /      2 | |              
                  \     \-1 + \/  1 + x  / /    x*asin(x) 
-------------------------------------------- - -----------
                    ________                           3/2
                   /      2                    /     2\   
               2*\/  1 - x                     \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(1 - \frac{1}{\sqrt{x^{2} + 1}}\right) \left(\frac{x^{2}}{\left(\sqrt{x^{2} + 1} - 1\right)^{2}} - 1\right)}{2 \sqrt{1 - x^{2}}}

                  /        ________                  \              
                  |       /      2  /         1     \|              
                  |     \/  1 + x  *|1 + -----------||              
                  |                 |       ________||              
                  |                 |      /      2 ||              
/         1     \ |                 \    \/  1 + x  /|              
|1 - -----------|*|-1 + -----------------------------|              
|       ________| |                    ________      |              
|      /      2 | |                   /      2       |              
\    \/  1 + x  / \            -1 + \/  1 + x        /    x*asin(x) 
------------------------------------------------------ - -----------
                         ________                                3/2
                        /      2                         /     2\   
                    2*\/  1 - x                          \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(1 - \frac{1}{\sqrt{x^{2} + 1}}\right) \left(\frac{\left(1 + \frac{1}{\sqrt{x^{2} + 1}}\right) \sqrt{x^{2} + 1}}{\sqrt{x^{2} + 1} - 1} - 1\right)}{2 \sqrt{1 - x^{2}}}

                  /       2/pi   atan(x)\\              
                  |    csc |-- - -------||              
/         1     \ |        \2       2   /|              
|1 + -----------|*|1 - ------------------|              
|       ________| |         2/atan(x)\   |              
|      /      2 | |      csc |-------|   |              
\    \/  1 + x  / \          \   2   /   /    x*asin(x) 
------------------------------------------ - -----------
                   ________                          3/2
                  /      2                   /     2\   
              2*\/  1 - x                    \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(1 + \frac{1}{\sqrt{x^{2} + 1}}\right) \left(- \frac{\csc^{2}{\left(- \frac{\operatorname{atan}{\left(x \right)}}{2} + \frac{\pi}{2} \right)}}{\csc^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)}} + 1\right)}{2 \sqrt{1 - x^{2}}}

                  /                 2           \              
/         1     \ |                x            |              
|1 - -----------|*|-1 + ------------------------|              
|       ________| |       /     2\    4/atan(x)\|              
|      /      2 | |     4*\1 + x /*sin |-------||              
\    \/  1 + x  / \                    \   2   //    x*asin(x) 
------------------------------------------------- - -----------
                       ________                             3/2
                      /      2                      /     2\   
                  2*\/  1 - x                       \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(1 - \frac{1}{\sqrt{x^{2} + 1}}\right) \left(\frac{x^{2}}{4 \left(x^{2} + 1\right) \sin^{4}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)}} - 1\right)}{2 \sqrt{1 - x^{2}}}

                  /        2/atan(x)   pi\\              
                  |     sec |------- - --||              
/         1     \ |         \   2      2 /|              
|1 - -----------|*|-1 + ------------------|              
|       ________| |          2/atan(x)\   |              
|      /      2 | |       sec |-------|   |              
\    \/  1 + x  / \           \   2   /   /    x*asin(x) 
------------------------------------------- - -----------
                    ________                          3/2
                   /      2                   /     2\   
               2*\/  1 - x                    \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(1 - \frac{1}{\sqrt{x^{2} + 1}}\right) \left(\frac{\sec^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} - \frac{\pi}{2} \right)}}{\sec^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)}} - 1\right)}{2 \sqrt{1 - x^{2}}}

                  /                      2\              
                  |    /        ________\ |              
                  |    |       /      2 | |              
/         1     \ |    \-1 + \/  1 + x  / |              
|1 + -----------|*|1 - -------------------|              
|       ________| |              2        |              
|      /      2 | \             x         /              
\    \/  1 + x  /                              x*asin(x) 
------------------------------------------- - -----------
                    ________                          3/2
                   /      2                   /     2\   
               2*\/  1 - x                    \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(1 - \frac{\left(\sqrt{x^{2} + 1} - 1\right)^{2}}{x^{2}}\right) \left(1 + \frac{1}{\sqrt{x^{2} + 1}}\right)}{2 \sqrt{1 - x^{2}}}

/         1     \ /       2/atan(x)\\              
|1 + -----------|*|1 - tan |-------||              
|       ________| \        \   2   //              
|      /      2 |                                  
\    \/  1 + x  /                        x*asin(x) 
------------------------------------- - -----------
                 ________                       3/2
                /      2                /     2\   
            2*\/  1 - x                 \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\left(1 + \frac{1}{\sqrt{x^{2} + 1}}\right) \left(1 - \tan^{2}{\left(\frac{\operatorname{atan}{\left(x \right)}}{2} \right)}\right)}{2 \sqrt{1 - x^{2}}}

   /pi          \              
sin|-- + atan(x)|              
   \2           /    x*asin(x) 
----------------- - -----------
      ________              3/2
     /      2       /     2\   
   \/  1 - x        \1 + x /

- \frac{x \operatorname{asin}{\left(x \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{\sin{\left(\operatorname{atan}{\left(x \right)} + \frac{\pi}{2} \right)}}{\sqrt{1 - x^{2}}}

sin(pi/2 + atan(x))/sqrt(1 - x^2) - x*asin(x)/(1 + x^2)^(3/2)

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¿Cómo vas a descomponer esta cos(atan(x))/sqrt(1-x^2)-x*asin(x)/(1+x^2)^(3/2) expresión en fracciones?

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