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(x^2-x-12)/(x+3)
-z^3-(-1)*z^2*y*(-x)*z/(z^2+x*y)-y^2*x*(-x)*z/((z^2+x*y)*((z^2+x*y)^2))
45*x*y^2/(75*y^2)
2*(-1+4*x^2/(1+x^2))/(1+x^2)^2
Factorizar el polinomio:
-y^6+1
y*x^2+i*y^3/3
y^8-x^8
y^6+6*y^3*t^2+9*t^4
Descomponer al cuadrado:
y^4-9*y^2+10
-y^4-9*y^2+7
y^4-9*y^2+2
y^4-9*y^2-2
Expresiones idénticas
asin(x)*sin(x)- tres *cos(x)/sqrt(uno -x^ dos)-(- uno + tres *x^ dos /(- uno +x^ dos))*cos(x)/(uno -x^ dos)^(tres / dos)- tres *x*sin(x)/(uno -x^ dos)^(tres / dos)
ar coseno de eno de (x) multiplicar por seno de (x) menos 3 multiplicar por coseno de (x) dividir por raíz cuadrada de (1 menos x al cuadrado ) menos ( menos 1 más 3 multiplicar por x al cuadrado dividir por ( menos 1 más x al cuadrado )) multiplicar por coseno de (x) dividir por (1 menos x al cuadrado ) en el grado (3 dividir por 2) menos 3 multiplicar por x multiplicar por seno de (x) dividir por (1 menos x al cuadrado ) en el grado (3 dividir por 2)
ar coseno de eno de (x) multiplicar por seno de (x) menos tres multiplicar por coseno de (x) dividir por raíz cuadrada de (uno menos x en el grado dos) menos ( menos uno más tres multiplicar por x en el grado dos dividir por ( menos uno más x en el grado dos)) multiplicar por coseno de (x) dividir por (uno menos x en el grado dos) en el grado (tres dividir por dos) menos tres multiplicar por x multiplicar por seno de (x) dividir por (uno menos x en el grado dos) en el grado (tres dividir por dos)
asin(x)*sin(x)-3*cos(x)/√(1-x^2)-(-1+3*x^2/(-1+x^2))*cos(x)/(1-x^2)^(3/2)-3*x*sin(x)/(1-x^2)^(3/2)
asin(x)*sin(x)-3*cos(x)/sqrt(1-x2)-(-1+3*x2/(-1+x2))*cos(x)/(1-x2)(3/2)-3*x*sin(x)/(1-x2)(3/2)
asinx*sinx-3*cosx/sqrt1-x2--1+3*x2/-1+x2*cosx/1-x23/2-3*x*sinx/1-x23/2
asin(x)*sin(x)-3*cos(x)/sqrt(1-x²)-(-1+3*x²/(-1+x²))*cos(x)/(1-x²)^(3/2)-3*x*sin(x)/(1-x²)^(3/2)
asin(x)*sin(x)-3*cos(x)/sqrt(1-x en el grado 2)-(-1+3*x en el grado 2/(-1+x en el grado 2))*cos(x)/(1-x en el grado 2) en el grado (3/2)-3*x*sin(x)/(1-x en el grado 2) en el grado (3/2)
asin(x)sin(x)-3cos(x)/sqrt(1-x^2)-(-1+3x^2/(-1+x^2))cos(x)/(1-x^2)^(3/2)-3xsin(x)/(1-x^2)^(3/2)
asin(x)sin(x)-3cos(x)/sqrt(1-x2)-(-1+3x2/(-1+x2))cos(x)/(1-x2)(3/2)-3xsin(x)/(1-x2)(3/2)
asinxsinx-3cosx/sqrt1-x2--1+3x2/-1+x2cosx/1-x23/2-3xsinx/1-x23/2
asinxsinx-3cosx/sqrt1-x^2--1+3x^2/-1+x^2cosx/1-x^2^3/2-3xsinx/1-x^2^3/2
asin(x)*sin(x)-3*cos(x) dividir por sqrt(1-x^2)-(-1+3*x^2 dividir por (-1+x^2))*cos(x) dividir por (1-x^2)^(3 dividir por 2)-3*x*sin(x) dividir por (1-x^2)^(3 dividir por 2)
Expresiones semejantes
asin(x)*sin(x)-3*cos(x)/sqrt(1-x^2)+(-1+3*x^2/(-1+x^2))*cos(x)/(1-x^2)^(3/2)-3*x*sin(x)/(1-x^2)^(3/2)
asin(x)*sin(x)-3*cos(x)/sqrt(1-x^2)-(-1+3*x^2/(-1+x^2))*cos(x)/(1-x^2)^(3/2)+3*x*sin(x)/(1-x^2)^(3/2)
asin(x)*sin(x)-3*cos(x)/sqrt(1-x^2)-(-1+3*x^2/(-1-x^2))*cos(x)/(1-x^2)^(3/2)-3*x*sin(x)/(1-x^2)^(3/2)
asin(x)*sin(x)-3*cos(x)/sqrt(1+x^2)-(-1+3*x^2/(-1+x^2))*cos(x)/(1-x^2)^(3/2)-3*x*sin(x)/(1-x^2)^(3/2)
asin(x)*sin(x)-3*cos(x)/sqrt(1-x^2)-(-1+3*x^2/(1+x^2))*cos(x)/(1-x^2)^(3/2)-3*x*sin(x)/(1-x^2)^(3/2)
asin(x)*sin(x)-3*cos(x)/sqrt(1-x^2)-(-1+3*x^2/(-1+x^2))*cos(x)/(1-x^2)^(3/2)-3*x*sin(x)/(1+x^2)^(3/2)
asin(x)*sin(x)-3*cos(x)/sqrt(1-x^2)-(-1-3*x^2/(-1+x^2))*cos(x)/(1-x^2)^(3/2)-3*x*sin(x)/(1-x^2)^(3/2)
asin(x)*sin(x)-3*cos(x)/sqrt(1-x^2)-(-1+3*x^2/(-1+x^2))*cos(x)/(1+x^2)^(3/2)-3*x*sin(x)/(1-x^2)^(3/2)
asin(x)*sin(x)-3*cos(x)/sqrt(1-x^2)-(1+3*x^2/(-1+x^2))*cos(x)/(1-x^2)^(3/2)-3*x*sin(x)/(1-x^2)^(3/2)
asin(x)*sin(x)+3*cos(x)/sqrt(1-x^2)-(-1+3*x^2/(-1+x^2))*cos(x)/(1-x^2)^(3/2)-3*x*sin(x)/(1-x^2)^(3/2)
arcsin(x)*sin(x)-3*cos(x)/sqrt(1-x^2)-(-1+3*x^2/(-1+x^2))*cos(x)/(1-x^2)^(3/2)-3*x*sin(x)/(1-x^2)^(3/2)
arcsinx*sinx-3*cosx/sqrt(1-x^2)-(-1+3*x^2/(-1+x^2))*cosx/(1-x^2)^(3/2)-3*x*sinx/(1-x^2)^(3/2)
Expresiones con funciones
Arcoseno arcsin
asin(x)/(1-x^2)^(3/2)+3*x*(sqrt(1-x^2)+x*asin(x))/(1-x^2)^(5/2)
asin(x)/(1-x^2)^(3/2)+3*x/(-1+x^2)^2+3*x^2*asin(x)/(1-x^2)^(5/2)
asin((3*x)/sqrt(6))/(2*3^(3/2))-(x*(2-3*x^2)^(3/2))/12+(x*sqrt(2-3*x^2))/12
asinh(x/(sqrt(3)*|x|)+2/(sqrt(3)*|x|))/2-sqrt(x^2+x+1)/x
asinh((6*x+6)/(2*sqrt(3)))/sqrt(3)
Seno sin
sin(p+a)^2+sin(p/(2+a))^2
sin(pi/2+a)*(-cot(a-3*pi/2))/(-sin(a))^2-tan(a-3*pi/2)*(-cos(a))
sin(p/2+a)-cos(p+a)/((-sin(a-2*p)))
sin(4*x)/(4*cos(4*x))
sin(2*a)-2*sin(a/(2-15))*cos(a/2+15)
Coseno cos
cos(b)/(cos*b/2)-(sin*b/2)
cos^2x+1/(1+ctg^2(x))-1
cos(2*x)*x/(cos(x)+sin(x))-cos(x)
cos(2*a)*tan(2*a)/((2*sin(a)))
cos(2*a)/((cos(a)*cos(a)))
Raíz cuadrada sqrt
sqrt((42,58^2*1+42,58^2*2+42,58^2*3+42,58^2*4+42,58^2*5+42,58^2*6+42,58^2*7+42,58^2*8+42,58^2*9+42,58^2*10+42,58^2*11+42,58^2*12+42,58^2*13+42,58^2*14+42,58^2*15+42,58^2*16+42,58^2*17+42,58^2*18+42,58^2*19+42,58^2*20+42,58^2*21+42,58^2*22+42,58^2*23+42,58^2*24)/(1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24))
sqrt(cos(x)+sin(2*x)+sin(1/(x^2)))+sin(1/(x^2))
sqrt(x)/(x^2+y^2)+sqrt(y)/(x^2-y^2)
sqrt(x)/(x-16)-sqrt(x)/((4-sqrt(x))^2)*(m^2-8*m+16)/4*sqrt(m)
sqrt(x*sqrt(5-x^2))*(sqrt(5-x^2)/2-x^2/(2*sqrt(5-x^2)))/(x*sqrt(5-x^2))
Coseno cos
cos(b)/(cos*b/2)-(sin*b/2)
cos^2x+1/(1+ctg^2(x))-1
cos(2*x)*x/(cos(x)+sin(x))-cos(x)
cos(2*a)*tan(2*a)/((2*sin(a)))
cos(2*a)/((cos(a)*cos(a)))
Seno sin
sin(p+a)^2+sin(p/(2+a))^2
sin(pi/2+a)*(-cot(a-3*pi/2))/(-sin(a))^2-tan(a-3*pi/2)*(-cos(a))
sin(p/2+a)-cos(p+a)/((-sin(a-2*p)))
sin(4*x)/(4*cos(4*x))
sin(2*a)-2*sin(a/(2-15))*cos(a/2+15)

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

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

Solución

Ha introducido [src]

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

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

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

Simplificación general [src]

             4                  2                             9/2                               3       
    /      2\           /     2\  /       2\          /     2\                         /      2\        
- 3*\-1 + x / *cos(x) + \1 - x / *\1 + 2*x /*cos(x) + \1 - x /   *asin(x)*sin(x) + 3*x*\-1 + x / *sin(x)
--------------------------------------------------------------------------------------------------------
                                                      9/2                                               
                                              /     2\                                                  
                                              \1 - x /

\frac{3 x \left(x^{2} - 1\right)^{3} \sin{\left(x \right)} + \left(1 - x^{2}\right)^{\frac{9}{2}} \sin{\left(x \right)} \operatorname{asin}{\left(x \right)} + \left(1 - x^{2}\right)^{2} \left(2 x^{2} + 1\right) \cos{\left(x \right)} - 3 \left(x^{2} - 1\right)^{4} \cos{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{9}{2}}}

(-3*(-1 + x^2)^4*cos(x) + (1 - x^2)^2*(1 + 2*x^2)*cos(x) + (1 - x^2)^(9/2)*asin(x)*sin(x) + 3*x*(-1 + x^2)^3*sin(x))/(1 - x^2)^(9/2)

Respuesta numérica [src]

asin(x)*sin(x) - 3.0*(1.0 - x^2)^(-0.5)*cos(x) - (1.0 - x^2)^(-1.5)*(-1.0 + 3.0*x^2/(-1.0 + x^2))*cos(x) - 3.0*x*(1.0 - x^2)^(-1.5)*sin(x)

asin(x)*sin(x) - 3.0*(1.0 - x^2)^(-0.5)*cos(x) - (1.0 - x^2)^(-1.5)*(-1.0 + 3.0*x^2/(-1.0 + x^2))*cos(x) - 3.0*x*(1.0 - x^2)^(-1.5)*sin(x)

Denominador común [src]

                               2             3                          4       
                 2*cos(x) - 8*x *cos(x) - 3*x *sin(x) + 3*x*sin(x) + 3*x *cos(x)
asin(x)*sin(x) - ---------------------------------------------------------------
                            ________         ________           ________        
                           /      2     4   /      2       2   /      2         
                         \/  1 - x   + x *\/  1 - x   - 2*x *\/  1 - x

\sin{\left(x \right)} \operatorname{asin}{\left(x \right)} - \frac{3 x^{4} \cos{\left(x \right)} - 3 x^{3} \sin{\left(x \right)} - 8 x^{2} \cos{\left(x \right)} + 3 x \sin{\left(x \right)} + 2 \cos{\left(x \right)}}{x^{4} \sqrt{1 - x^{2}} - 2 x^{2} \sqrt{1 - x^{2}} + \sqrt{1 - x^{2}}}

asin(x)*sin(x) - (2*cos(x) - 8*x^2*cos(x) - 3*x^3*sin(x) + 3*x*sin(x) + 3*x^4*cos(x))/(sqrt(1 - x^2) + x^4*sqrt(1 - x^2) - 2*x^2*sqrt(1 - x^2))

Unión de expresiones racionales [src]

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

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

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

Combinatoria [src]

 /                                                                      ________                        ________                          ________               \ 
 |                            4             3             2            /      2                    4   /      2                      2   /      2                | 
-\-2*cos(x) - 3*x*sin(x) - 3*x *cos(x) + 3*x *sin(x) + 8*x *cos(x) + \/  1 - x  *asin(x)*sin(x) + x *\/  1 - x  *asin(x)*sin(x) - 2*x *\/  1 - x  *asin(x)*sin(x)/ 
-------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                 3/2                                                                               
                                                              (-(1 + x)*(-1 + x))   *(1 + x)*(-1 + x)

- \frac{x^{4} \sqrt{1 - x^{2}} \sin{\left(x \right)} \operatorname{asin}{\left(x \right)} - 3 x^{4} \cos{\left(x \right)} + 3 x^{3} \sin{\left(x \right)} - 2 x^{2} \sqrt{1 - x^{2}} \sin{\left(x \right)} \operatorname{asin}{\left(x \right)} + 8 x^{2} \cos{\left(x \right)} - 3 x \sin{\left(x \right)} + \sqrt{1 - x^{2}} \sin{\left(x \right)} \operatorname{asin}{\left(x \right)} - 2 \cos{\left(x \right)}}{\left(- \left(x - 1\right) \left(x + 1\right)\right)^{\frac{3}{2}} \left(x - 1\right) \left(x + 1\right)}

-(-2*cos(x) - 3*x*sin(x) - 3*x^4*cos(x) + 3*x^3*sin(x) + 8*x^2*cos(x) + sqrt(1 - x^2)*asin(x)*sin(x) + x^4*sqrt(1 - x^2)*asin(x)*sin(x) - 2*x^2*sqrt(1 - x^2)*asin(x)*sin(x))/((-(1 + x)*(-1 + x))^(3/2)*(1 + x)*(-1 + x))

Abrimos la expresión [src]

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

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

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

Compilar la expresión [src]

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

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

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

Potencias [src]

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

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

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

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

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

Parte trigonométrica [src]

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

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

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

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

                                                                /          2 \                            
                                                 /        2/x\\ |       3*x  |                            
         /        2/x\\                    /x\   |-1 + cot |-||*|-1 + -------|                  /x\       
       3*|-1 + cot |-||       2*asin(x)*cot|-|   \         \2// |           2|           6*x*cot|-|       
         \         \2//                    \2/                  \     -1 + x /                  \2/       
- ------------------------- + ---------------- - ----------------------------- - -------------------------
                   ________            2/x\                              3/2                           3/2
  /       2/x\\   /      2      1 + cot |-|        /       2/x\\ /     2\        /       2/x\\ /     2\   
  |1 + cot |-||*\/  1 - x               \2/        |1 + cot |-||*\1 - x /        |1 + cot |-||*\1 - x /   
  \        \2//                                    \        \2//                 \        \2//

- \frac{6 x \cot{\left(\frac{x}{2} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)} + \frac{2 \cot{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(x \right)}}{\cot^{2}{\left(\frac{x}{2} \right)} + 1} - \frac{3 \left(\cot^{2}{\left(\frac{x}{2} \right)} - 1\right)}{\sqrt{1 - x^{2}} \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)} - \frac{\left(\frac{3 x^{2}}{x^{2} - 1} - 1\right) \left(\cot^{2}{\left(\frac{x}{2} \right)} - 1\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)}

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

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

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

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

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

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

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

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

                                                               /          2 \                            
                                                 /       2/x\\ |       3*x  |                            
         /       2/x\\                     /x\   |1 - tan |-||*|-1 + -------|                  /x\       
       3*|1 - tan |-||        2*asin(x)*tan|-|   \        \2// |           2|           6*x*tan|-|       
         \        \2//                     \2/                 \     -1 + x /                  \2/       
- ------------------------- + ---------------- - ---------------------------- - -------------------------
                   ________            2/x\                             3/2                           3/2
  /       2/x\\   /      2      1 + tan |-|       /       2/x\\ /     2\        /       2/x\\ /     2\   
  |1 + tan |-||*\/  1 - x               \2/       |1 + tan |-||*\1 - x /        |1 + tan |-||*\1 - x /   
  \        \2//                                   \        \2//                 \        \2//

- \frac{6 x \tan{\left(\frac{x}{2} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)} + \frac{2 \tan{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(x \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} - \frac{3 \left(1 - \tan^{2}{\left(\frac{x}{2} \right)}\right)}{\sqrt{1 - x^{2}} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)} - \frac{\left(1 - \tan^{2}{\left(\frac{x}{2} \right)}\right) \left(\frac{3 x^{2}}{x^{2} - 1} - 1\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)}

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

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

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

Denominador racional [src]

          5/2                    7/2                  4                               7/2                       5/2                     4                         ________          3       
  /     2\               /     2\             /     2\                      2 /     2\                2 /     2\              2 /     2\                         /      2  /      2\        
- \1 - x /   *cos(x) + 3*\1 - x /   *cos(x) - \1 - x / *asin(x)*sin(x) - 3*x *\1 - x /   *cos(x) - 2*x *\1 - x /   *cos(x) + x *\1 - x / *asin(x)*sin(x) - 3*x*\/  1 - x  *\-1 + x / *sin(x)
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                          /      2\ /     8      2      6      4\                                                                           
                                                                          \-1 + x /*\1 + x  - 4*x  - 4*x  + 6*x /

\frac{- 3 x^{2} \left(1 - x^{2}\right)^{\frac{7}{2}} \cos{\left(x \right)} - 2 x^{2} \left(1 - x^{2}\right)^{\frac{5}{2}} \cos{\left(x \right)} + x^{2} \left(1 - x^{2}\right)^{4} \sin{\left(x \right)} \operatorname{asin}{\left(x \right)} - 3 x \sqrt{1 - x^{2}} \left(x^{2} - 1\right)^{3} \sin{\left(x \right)} + 3 \left(1 - x^{2}\right)^{\frac{7}{2}} \cos{\left(x \right)} - \left(1 - x^{2}\right)^{\frac{5}{2}} \cos{\left(x \right)} - \left(1 - x^{2}\right)^{4} \sin{\left(x \right)} \operatorname{asin}{\left(x \right)}}{\left(x^{2} - 1\right) \left(x^{8} - 4 x^{6} + 6 x^{4} - 4 x^{2} + 1\right)}

(-(1 - x^2)^(5/2)*cos(x) + 3*(1 - x^2)^(7/2)*cos(x) - (1 - x^2)^4*asin(x)*sin(x) - 3*x^2*(1 - x^2)^(7/2)*cos(x) - 2*x^2*(1 - x^2)^(5/2)*cos(x) + x^2*(1 - x^2)^4*asin(x)*sin(x) - 3*x*sqrt(1 - x^2)*(-1 + x^2)^3*sin(x))/((-1 + x^2)*(1 + x^8 - 4*x^2 - 4*x^6 + 6*x^4))

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