Sr Examen

Otras calculadoras

Simplificación de expresiones/ Descomposición en fracciones simples/ atan(x)*log(8)+x*log(8)/(1+x^2)

¿Cómo vas a descomponer esta atan(x)*log(8)+x*log(8)/(1+x^2) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
                 x*log(8)
atan(x)*log(8) + --------
                       2 
                  1 + x
xlog⁡(8)x2+1+log⁡(8)atan⁡(x)\frac{x \log{\left(8 \right)}}{x^{2} + 1} + \log{\left(8 \right)} \operatorname{atan}{\left(x \right)} 
atan(x)*log(8) + (x*log(8))/(1 + x^2)
Simplificación general [src] 
/    /     2\        \       
\x + \1 + x /*atan(x)/*log(8)
-----------------------------
                 2           
            1 + x
(x+(x2+1)atan⁡(x))log⁡(8)x2+1\frac{\left(x + \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}\right) \log{\left(8 \right)}}{x^{2} + 1} 
(x + (1 + x^2)*atan(x))*log(8)/(1 + x^2)
Respuesta numérica [src] 
2.07944154167984*atan(x) + 2.07944154167984*x/(1.0 + x^2)
2.07944154167984*atan(x) + 2.07944154167984*x/(1.0 + x^2)
Unión de expresiones racionales [src] 
/    /     2\        \       
\x + \1 + x /*atan(x)/*log(8)
-----------------------------
                 2           
            1 + x
(x+(x2+1)atan⁡(x))log⁡(8)x2+1\frac{\left(x + \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}\right) \log{\left(8 \right)}}{x^{2} + 1} 
(x + (1 + x^2)*atan(x))*log(8)/(1 + x^2)
Combinatoria [src] 
  /     2                  \       
3*\x + x *atan(x) + atan(x)/*log(2)
-----------------------------------
                    2              
               1 + x
3(x2atan⁡(x)+x+atan⁡(x))log⁡(2)x2+1\frac{3 \left(x^{2} \operatorname{atan}{\left(x \right)} + x + \operatorname{atan}{\left(x \right)}\right) \log{\left(2 \right)}}{x^{2} + 1} 
3*(x + x^2*atan(x) + atan(x))*log(2)/(1 + x^2)
Denominador racional [src] 
           /     2\               
x*log(8) + \1 + x /*atan(x)*log(8)
----------------------------------
                   2              
              1 + x
xlog⁡(8)+(x2+1)log⁡(8)atan⁡(x)x2+1\frac{x \log{\left(8 \right)} + \left(x^{2} + 1\right) \log{\left(8 \right)} \operatorname{atan}{\left(x \right)}}{x^{2} + 1} 
(x*log(8) + (1 + x^2)*atan(x)*log(8))/(1 + x^2)
Denominador común [src] 
                   3*x*log(2)
3*atan(x)*log(2) + ----------
                          2  
                     1 + x
3xlog⁡(2)x2+1+3log⁡(2)atan⁡(x)\frac{3 x \log{\left(2 \right)}}{x^{2} + 1} + 3 \log{\left(2 \right)} \operatorname{atan}{\left(x \right)} 
3*atan(x)*log(2) + 3*x*log(2)/(1 + x^2)
    © Sr Examen – Калькулятор