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¿cómo vas a descomponer esta expresión en fracciones?:
x^3*y^12/(x*y^4)^3
2*(-1+(-1+x)/(2+x))/(2+x)^2
(y^2-16)/(4*y^2-y^3)
a/(a+b)+a^2/(b^2-a^2)
Factorizar el polinomio:
y^4-81
y^4+y^2
y^5+y+1
-y^3+y^2-1
Descomponer al cuadrado:
y^4-9*y^2-10
y^4+9*y^2-5
-y^4-9*y^2+15
-y^4-8*y^2+9
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(x/10)/5-x/(100+x^2)
atan(sin(x)/(2*(1+cos(x))))/2
atan(2*x+7)*2+4*x/(1+(2*x+7)^2)-(28+8*x)/(2*(1+(2*x+7)^4))
atan(3*x)^(sqrt(x))*(log(atan(3*x))/(2*sqrt(x))+3*sqrt(x)/((1+9*x^2)*atan(3*x)))
atan(x)+x/(1+x^2)-1/(x+1)-atan(x)/(x^2+1)
Logaritmo log
log(x)^sin(x)*(cos(x)*log(log(x))+sin(x)/(x*log(x)))
log(x+9)/81-log(x)/81-1/(9*x)
log(x^2-x-1)/2-log((2*x-sqrt(5)-1)/((-1)+sqrt(5)+2*x))/(2*sqrt(5))
log(x^2+x-1)/2-log((2*x-sqrt(5)+1)/(1+sqrt(5)+2*x))/(2*sqrt(5))
log(x^2+4*x-7)/2-log((2*x-2*sqrt(11)+4)/(4+2*sqrt(11)+2*x))/sqrt(11)
Arcotangente arctan
atan(x/10)/5-x/(100+x^2)
atan(sin(x)/(2*(1+cos(x))))/2
atan(2*x+7)*2+4*x/(1+(2*x+7)^2)-(28+8*x)/(2*(1+(2*x+7)^4))
atan(3*x)^(sqrt(x))*(log(atan(3*x))/(2*sqrt(x))+3*sqrt(x)/((1+9*x^2)*atan(3*x)))
atan(x)+x/(1+x^2)-1/(x+1)-atan(x)/(x^2+1)
Arcotangente arctan
atan(x/10)/5-x/(100+x^2)
atan(sin(x)/(2*(1+cos(x))))/2
atan(2*x+7)*2+4*x/(1+(2*x+7)^2)-(28+8*x)/(2*(1+(2*x+7)^4))
atan(3*x)^(sqrt(x))*(log(atan(3*x))/(2*sqrt(x))+3*sqrt(x)/((1+9*x^2)*atan(3*x)))
atan(x)+x/(1+x^2)-1/(x+1)-atan(x)/(x^2+1)

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)/

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)/

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?