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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
atan(x)^(uno /(x^ dos))*(- dos *log(atan(x))/x^ tres + uno /(x^ dos *(uno +x^ dos)*atan(x)))
arco tangente de gente de (x) en el grado (1 dividir por (x al cuadrado )) multiplicar por ( menos 2 multiplicar por logaritmo de ( arco tangente de gente de (x)) dividir por x al cubo más 1 dividir por (x al cuadrado multiplicar por (1 más x al cuadrado ) multiplicar por arco tangente de gente de (x)))
arco tangente de gente de (x) en el grado (uno dividir por (x en el grado dos)) multiplicar por ( menos dos multiplicar por logaritmo de ( arco tangente de gente de (x)) dividir por x en el grado tres más uno dividir por (x en el grado dos multiplicar por (uno más x en el grado dos) multiplicar por arco tangente de gente de (x)))
atan(x)(1/(x2))*(-2*log(atan(x))/x3+1/(x2*(1+x2)*atan(x)))
atanx1/x2*-2*logatanx/x3+1/x2*1+x2*atanx
atan(x)^(1/(x²))*(-2*log(atan(x))/x³+1/(x²*(1+x²)*atan(x)))
atan(x) en el grado (1/(x en el grado 2))*(-2*log(atan(x))/x en el grado 3+1/(x en el grado 2*(1+x en el grado 2)*atan(x)))
atan(x)^(1/(x^2))(-2log(atan(x))/x^3+1/(x^2(1+x^2)atan(x)))
atan(x)(1/(x2))(-2log(atan(x))/x3+1/(x2(1+x2)atan(x)))
atanx1/x2-2logatanx/x3+1/x21+x2atanx
atanx^1/x^2-2logatanx/x^3+1/x^21+x^2atanx
atan(x)^(1 dividir por (x^2))*(-2*log(atan(x)) dividir por x^3+1 dividir por (x^2*(1+x^2)*atan(x)))
Expresiones semejantes
atan(x)^(1/(x^2))*(2*log(atan(x))/x^3+1/(x^2*(1+x^2)*atan(x)))
atan(x)^(1/(x^2))*(-2*log(atan(x))/x^3-1/(x^2*(1+x^2)*atan(x)))
atan(x)^(1/(x^2))*(-2*log(atan(x))/x^3+1/(x^2*(1-x^2)*atan(x)))
arctan(x)^(1/(x^2))*(-2*log(arctan(x))/x^3+1/(x^2*(1+x^2)*arctan(x)))
arctanx^(1/(x^2))*(-2*log(arctanx)/x^3+1/(x^2*(1+x^2)*arctanx))
Expresiones con funciones
Arcotangente arctan
atan(3*pi/2)/(9*pi^2)
atan(x)^log(acot(x))*(log(acot(x))/((1+x^2)*atan(x))-log(atan(x))/((1+x^2)*acot(x)))/2
atan(x^2/sqrt(-b^2/a^2))/(2*a^2*sqrt(-b^2/a^2))
atan(sin(x)/(sqrt(3)*(1+cos(x))))/(2*sqrt(3))
atan(sin(2*x)/(sqrt(5)*(1+cos(2*x))))/sqrt(5)
Logaritmo log
log(y-1)^2+2*log(2/(y-1))*(y+log(y-1))+2*log(y-1)+log(2/(y-1))^2*y+2*y
log(x^2+1)/2-log(x)+atan(x)/2+(x-2)/(2+2*x^2)
log(x+3)^sin(sqrt(x))*(sin(sqrt(x))/((x+3)*log(x+3))+cos(sqrt(x))*log(log(x+3))/(2*sqrt(x)))
log(x^2-x+1)/2+(7*atan((2*x-1)/sqrt(3)))/sqrt(3)+3/(1+x)
log(sqrt(x))/sqrt(1-x^2)+asin(x)/(2*x)
Arcotangente arctan
atan(3*pi/2)/(9*pi^2)
atan(x)^log(acot(x))*(log(acot(x))/((1+x^2)*atan(x))-log(atan(x))/((1+x^2)*acot(x)))/2
atan(x^2/sqrt(-b^2/a^2))/(2*a^2*sqrt(-b^2/a^2))
atan(sin(x)/(sqrt(3)*(1+cos(x))))/(2*sqrt(3))
atan(sin(2*x)/(sqrt(5)*(1+cos(2*x))))/sqrt(5)
Arcotangente arctan
atan(3*pi/2)/(9*pi^2)
atan(x)^log(acot(x))*(log(acot(x))/((1+x^2)*atan(x))-log(atan(x))/((1+x^2)*acot(x)))/2
atan(x^2/sqrt(-b^2/a^2))/(2*a^2*sqrt(-b^2/a^2))
atan(sin(x)/(sqrt(3)*(1+cos(x))))/(2*sqrt(3))
atan(sin(2*x)/(sqrt(5)*(1+cos(2*x))))/sqrt(5)

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

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

Solución

Ha introducido [src]

         1                                         
         --                                        
          2                                        
         x  /-2*log(atan(x))            1         \
(atan(x))  *|--------------- + -------------------|
            |        3          2 /     2\        |
            \       x          x *\1 + x /*atan(x)/

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

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

Simplificación general [src]

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

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

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

Respuesta numérica [src]

atan(x)^(x^(-2))*(-2.0*log(atan(x))/x^3 + 1/(x^2*(1.0 + x^2)*atan(x)))

atan(x)^(x^(-2))*(-2.0*log(atan(x))/x^3 + 1/(x^2*(1.0 + x^2)*atan(x)))

Potencias [src]

         1                                          
         --                                         
          2                                         
         x  /  2*log(atan(x))            1         \
(atan(x))  *|- -------------- + -------------------|
            |         3          2 /     2\        |
            \        x          x *\1 + x /*atan(x)/

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

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

Combinatoria [src]

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

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

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

Parte trigonométrica [src]

         1                                          
         --                                         
          2                                         
         x  /  2*log(atan(x))            1         \
(atan(x))  *|- -------------- + -------------------|
            |         3          2 /     2\        |
            \        x          x *\1 + x /*atan(x)/

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

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

Unión de expresiones racionales [src]

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

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

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

Denominador común [src]

 /             1               1                                       1                      \ 
 |             --              --                                      --                     | 
 |              2               2                                       2                     | 
 |             x               x                            2          x                      | 
-\- x*(atan(x))   + 2*(atan(x))  *atan(x)*log(atan(x)) + 2*x *(atan(x))  *atan(x)*log(atan(x))/ 
------------------------------------------------------------------------------------------------
                                     3            5                                             
                                    x *atan(x) + x *atan(x)

- \frac{2 x^{2} \log{\left(\operatorname{atan}{\left(x \right)} \right)} \operatorname{atan}{\left(x \right)} \operatorname{atan}^{\frac{1}{x^{2}}}{\left(x \right)} - x \operatorname{atan}^{\frac{1}{x^{2}}}{\left(x \right)} + 2 \log{\left(\operatorname{atan}{\left(x \right)} \right)} \operatorname{atan}{\left(x \right)} \operatorname{atan}^{\frac{1}{x^{2}}}{\left(x \right)}}{x^{5} \operatorname{atan}{\left(x \right)} + x^{3} \operatorname{atan}{\left(x \right)}}

-(-x*atan(x)^(x^(-2)) + 2*atan(x)^(x^(-2))*atan(x)*log(atan(x)) + 2*x^2*atan(x)^(x^(-2))*atan(x)*log(atan(x)))/(x^3*atan(x) + x^5*atan(x))

Denominador racional [src]

                 1                       1                                            1                      
            -1 + --                 -1 + --                                      -1 + --                     
                  2                       2                                            2                     
 3               x       2               x                            4               x                      
x *(atan(x))        - 2*x *(atan(x))       *atan(x)*log(atan(x)) - 2*x *(atan(x))       *atan(x)*log(atan(x))
-------------------------------------------------------------------------------------------------------------
                                                  5 /     2\                                                 
                                                 x *\1 + x /

\frac{- 2 x^{4} \log{\left(\operatorname{atan}{\left(x \right)} \right)} \operatorname{atan}{\left(x \right)} \operatorname{atan}^{-1 + \frac{1}{x^{2}}}{\left(x \right)} + x^{3} \operatorname{atan}^{-1 + \frac{1}{x^{2}}}{\left(x \right)} - 2 x^{2} \log{\left(\operatorname{atan}{\left(x \right)} \right)} \operatorname{atan}{\left(x \right)} \operatorname{atan}^{-1 + \frac{1}{x^{2}}}{\left(x \right)}}{x^{5} \left(x^{2} + 1\right)}

(x^3*atan(x)^(-1 + x^(-2)) - 2*x^2*atan(x)^(-1 + x^(-2))*atan(x)*log(atan(x)) - 2*x^4*atan(x)^(-1 + x^(-2))*atan(x)*log(atan(x)))/(x^5*(1 + x^2))

Abrimos la expresión [src]

         1  //     1     \                  \
         -- ||-----------|                  |
          2 || 2 /     2\|                  |
         x  |\x *\1 + x //   -2*log(atan(x))|
(atan(x))  *|------------- + ---------------|
            |   atan(x)              3      |
            \                       x       /

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

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

Compilar la expresión [src]

         1                                          
         --                                         
          2                                         
         x  /  2*log(atan(x))            1         \
(atan(x))  *|- -------------- + -------------------|
            |         3          2 /     2\        |
            \        x          x *\1 + x /*atan(x)/

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

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

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

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

Solución

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