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

Expresión a simplificar:

Solución

Ha introducido [src]
acot(x)   log(x)
------- - ------
   x           2
          1 + x 
$$- \frac{\log{\left(x \right)}}{x^{2} + 1} + \frac{\operatorname{acot}{\left(x \right)}}{x}$$
acot(x)/x - log(x)/(1 + x^2)
Simplificación general [src]
/     2\                   
\1 + x /*acot(x) - x*log(x)
---------------------------
           /     2\        
         x*\1 + x /        
$$\frac{- x \log{\left(x \right)} + \left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}}{x \left(x^{2} + 1\right)}$$
((1 + x^2)*acot(x) - x*log(x))/(x*(1 + x^2))
Respuesta numérica [src]
acot(x)/x - log(x)/(1.0 + x^2)
acot(x)/x - log(x)/(1.0 + x^2)
Unión de expresiones racionales [src]
/     2\                   
\1 + x /*acot(x) - x*log(x)
---------------------------
           /     2\        
         x*\1 + x /        
$$\frac{- x \log{\left(x \right)} + \left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}}{x \left(x^{2} + 1\right)}$$
((1 + x^2)*acot(x) - x*log(x))/(x*(1 + x^2))
Denominador común [src]
 2                             
x *acot(x) - x*log(x) + acot(x)
-------------------------------
                  3            
             x + x             
$$\frac{x^{2} \operatorname{acot}{\left(x \right)} - x \log{\left(x \right)} + \operatorname{acot}{\left(x \right)}}{x^{3} + x}$$
(x^2*acot(x) - x*log(x) + acot(x))/(x + x^3)
Combinatoria [src]
 2                             
x *acot(x) - x*log(x) + acot(x)
-------------------------------
             /     2\          
           x*\1 + x /          
$$\frac{x^{2} \operatorname{acot}{\left(x \right)} - x \log{\left(x \right)} + \operatorname{acot}{\left(x \right)}}{x \left(x^{2} + 1\right)}$$
(x^2*acot(x) - x*log(x) + acot(x))/(x*(1 + x^2))
Denominador racional [src]
/     2\                   
\1 + x /*acot(x) - x*log(x)
---------------------------
           /     2\        
         x*\1 + x /        
$$\frac{- x \log{\left(x \right)} + \left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}}{x \left(x^{2} + 1\right)}$$
((1 + x^2)*acot(x) - x*log(x))/(x*(1 + x^2))