Sr Examen

Otras calculadoras

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

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

Expresión a simplificar:

Solución

Ha introducido [src] 
acot(x)     log(x)  
------- - ----------
  2*x       /     2\
          2*\1 + x /
−log⁡(x)2(x2+1)+acot⁡(x)2x- \frac{\log{\left(x \right)}}{2 \left(x^{2} + 1\right)} + \frac{\operatorname{acot}{\left(x \right)}}{2 x} 
acot(x)/((2*x)) - log(x)/(2*(1 + x^2))
Simplificación general [src] 
/     2\                   
\1 + x /*acot(x) - x*log(x)
---------------------------
            /     2\       
        2*x*\1 + x /
−xlog⁡(x)+(x2+1)acot⁡(x)2x(x2+1)\frac{- x \log{\left(x \right)} + \left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}}{2 x \left(x^{2} + 1\right)} 
((1 + x^2)*acot(x) - x*log(x))/(2*x*(1 + x^2))
Respuesta numérica [src] 
-log(x)/(2.0 + 2.0*x^2) + 0.5*acot(x)/x
-log(x)/(2.0 + 2.0*x^2) + 0.5*acot(x)/x
Parte trigonométrica [src] 
acot(x)    log(x) 
------- - --------
  2*x            2
          2 + 2*x
−log⁡(x)2x2+2+acot⁡(x)2x- \frac{\log{\left(x \right)}}{2 x^{2} + 2} + \frac{\operatorname{acot}{\left(x \right)}}{2 x} 
acot(x)/(2*x) - log(x)/(2 + 2*x^2)
Unión de expresiones racionales [src] 
/     2\                   
\1 + x /*acot(x) - x*log(x)
---------------------------
            /     2\       
        2*x*\1 + x /
−xlog⁡(x)+(x2+1)acot⁡(x)2x(x2+1)\frac{- x \log{\left(x \right)} + \left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}}{2 x \left(x^{2} + 1\right)} 
((1 + x^2)*acot(x) - x*log(x))/(2*x*(1 + x^2))
Denominador común [src] 
 2                             
x *acot(x) - x*log(x) + acot(x)
-------------------------------
                    3          
           2*x + 2*x
x2acot⁡(x)−xlog⁡(x)+acot⁡(x)2x3+2x\frac{x^{2} \operatorname{acot}{\left(x \right)} - x \log{\left(x \right)} + \operatorname{acot}{\left(x \right)}}{2 x^{3} + 2 x} 
(x^2*acot(x) - x*log(x) + acot(x))/(2*x + 2*x^3)
Potencias [src] 
acot(x)    log(x) 
------- - --------
  2*x            2
          2 + 2*x
−log⁡(x)2x2+2+acot⁡(x)2x- \frac{\log{\left(x \right)}}{2 x^{2} + 2} + \frac{\operatorname{acot}{\left(x \right)}}{2 x} 
acot(x)/(2*x) - log(x)/(2 + 2*x^2)
Combinatoria [src] 
 2                             
x *acot(x) - x*log(x) + acot(x)
-------------------------------
              /     2\         
          2*x*\1 + x /
x2acot⁡(x)−xlog⁡(x)+acot⁡(x)2x(x2+1)\frac{x^{2} \operatorname{acot}{\left(x \right)} - x \log{\left(x \right)} + \operatorname{acot}{\left(x \right)}}{2 x \left(x^{2} + 1\right)} 
(x^2*acot(x) - x*log(x) + acot(x))/(2*x*(1 + x^2))
Denominador racional [src] 
/       2\                     
\2 + 2*x /*acot(x) - 2*x*log(x)
-------------------------------
             /       2\        
         2*x*\2 + 2*x /
−2xlog⁡(x)+(2x2+2)acot⁡(x)2x(2x2+2)\frac{- 2 x \log{\left(x \right)} + \left(2 x^{2} + 2\right) \operatorname{acot}{\left(x \right)}}{2 x \left(2 x^{2} + 2\right)} 
((2 + 2*x^2)*acot(x) - 2*x*log(x))/(2*x*(2 + 2*x^2))
Compilar la expresión [src] 
acot(x)    log(x) 
------- - --------
  2*x            2
          2 + 2*x
−log⁡(x)2x2+2+acot⁡(x)2x- \frac{\log{\left(x \right)}}{2 x^{2} + 2} + \frac{\operatorname{acot}{\left(x \right)}}{2 x} 
acot(x)/(2*x) - log(x)/(2 + 2*x^2)
    © Sr Examen – Калькулятор