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¿cómo vas a descomponer esta expresión en fracciones?:
(z/c+c/z)/((z^2+c^2)/(5*z^9*c))
(x+5)/(x^2+22*x+85)
(z^2-m^2)/(z^2*m+z*m^2)-5/z
a/(a+b)+a^2/(b^2-a^2)
Factorizar el polinomio:
z^2+5*i*z+5*i*z^3/3
z^2+14*z+4
y^n+3-y-1+y^n+1
y^6+y^4-3*y^2+1
Descomponer al cuadrado:
-y^4+y^2-10
y^4+9*y^2-6
y^4-9*y^2-5
y^4-9*y^2-3
Expresiones idénticas
atan(x)^(uno /x)*(-log(atan(x))/x^ dos + uno /(x*(uno +x^ dos)*atan(x)))
arco tangente de gente de (x) en el grado (1 dividir por x) multiplicar por ( menos logaritmo de ( arco tangente de gente de (x)) dividir por x al cuadrado más 1 dividir por (x 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) multiplicar por ( menos logaritmo de ( arco tangente de gente de (x)) dividir por x en el grado dos más uno dividir por (x multiplicar por (uno más x en el grado dos) multiplicar por arco tangente de gente de (x)))
atan(x)(1/x)*(-log(atan(x))/x2+1/(x*(1+x2)*atan(x)))
atanx1/x*-logatanx/x2+1/x*1+x2*atanx
atan(x)^(1/x)*(-log(atan(x))/x²+1/(x*(1+x²)*atan(x)))
atan(x) en el grado (1/x)*(-log(atan(x))/x en el grado 2+1/(x*(1+x en el grado 2)*atan(x)))
atan(x)^(1/x)(-log(atan(x))/x^2+1/(x(1+x^2)atan(x)))
atan(x)(1/x)(-log(atan(x))/x2+1/(x(1+x2)atan(x)))
atanx1/x-logatanx/x2+1/x1+x2atanx
atanx^1/x-logatanx/x^2+1/x1+x^2atanx
atan(x)^(1 dividir por x)*(-log(atan(x)) dividir por x^2+1 dividir por (x*(1+x^2)*atan(x)))
Expresiones semejantes
atan(x)^(1/x)*(-log(atan(x))/x^2+1/(x*(1-x^2)*atan(x)))
atan(x)^(1/x)*(log(atan(x))/x^2+1/(x*(1+x^2)*atan(x)))
atan(x)^(1/x)*(-log(atan(x))/x^2-1/(x*(1+x^2)*atan(x)))
arctan(x)^(1/x)*(-log(arctan(x))/x^2+1/(x*(1+x^2)*arctan(x)))
arctanx^(1/x)*(-log(arctanx)/x^2+1/(x*(1+x^2)*arctanx))
Expresiones con funciones
Arcotangente arctan
atan(x/sqrt(2))/2^(5/2)+x/(8+4*x^2)
atan(x)^5/((x-3)*log(2))+5*atan(x)^4*log(x-3)/((1+x^2)*log(2))
atan(x/3)/648+(x^3+15*x)/(17496+3888*x^2+216*x^4)
atan(sqrt(3)*x)/(8*3^(3/2))+(3*x^3-x)/(24+144*x^2+216*x^4)
atan(5*x)/(x^3)-5/(2*x^2*(25*x^2+1))-125/(2+50*x^2)-5/2
Logaritmo log
log(z+1)/2-log(z)+log(z-1)/2+1/(2*z^2)
log(x^2+x-1)/2-log((2*x-sqrt(5)+1)/(1+sqrt(5)+2*x))/(2*sqrt(5))
log(x-5)^2/((log(x+6)/log(2)))
log(x)*((5*x-a)/(6*x+a))
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
Arcotangente arctan
atan(x/sqrt(2))/2^(5/2)+x/(8+4*x^2)
atan(x)^5/((x-3)*log(2))+5*atan(x)^4*log(x-3)/((1+x^2)*log(2))
atan(x/3)/648+(x^3+15*x)/(17496+3888*x^2+216*x^4)
atan(sqrt(3)*x)/(8*3^(3/2))+(3*x^3-x)/(24+144*x^2+216*x^4)
atan(5*x)/(x^3)-5/(2*x^2*(25*x^2+1))-125/(2+50*x^2)-5/2
Arcotangente arctan
atan(x/sqrt(2))/2^(5/2)+x/(8+4*x^2)
atan(x)^5/((x-3)*log(2))+5*atan(x)^4*log(x-3)/((1+x^2)*log(2))
atan(x/3)/648+(x^3+15*x)/(17496+3888*x^2+216*x^4)
atan(sqrt(3)*x)/(8*3^(3/2))+(3*x^3-x)/(24+144*x^2+216*x^4)
atan(5*x)/(x^3)-5/(2*x^2*(25*x^2+1))-125/(2+50*x^2)-5/2

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

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

Solución

Ha introducido [src]

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

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

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

Simplificación general [src]

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

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

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

Respuesta numérica [src]

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

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

Denominador común [src]

 /    x _________   x _________                         2 x _________                     \ 
-\- x*\/ atan(x)  + \/ atan(x) *atan(x)*log(atan(x)) + x *\/ atan(x) *atan(x)*log(atan(x))/ 
--------------------------------------------------------------------------------------------
                                   2            4                                           
                                  x *atan(x) + x *atan(x)

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

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

Parte trigonométrica [src]

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

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

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

Denominador racional [src]

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

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

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

Unión de expresiones racionales [src]

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

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

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

Combinatoria [src]

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

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

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

Potencias [src]

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

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

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

Abrimos la expresión [src]

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

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

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

Compilar la expresión [src]

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

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

atan(x)^(1/x)*(-log(atan(x))/x^2 + 1/(x*(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)*(-log(atan(x))/x^2+1/(x*(1+x^2)*atan(x))) expresión en fracciones?

Solución

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