Sr Examen
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?
Solución
Ha introducido
[src]
x*log(8)
atan(x)*log(8) + --------
2
1 + 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
$$\frac{\left(x + \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}\right) \log{\left(8 \right)}}{x^{2} + 1}$$
(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
$$\frac{\left(x + \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}\right) \log{\left(8 \right)}}{x^{2} + 1}$$
(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
$$\frac{3 \left(x^{2} \operatorname{atan}{\left(x \right)} + x + \operatorname{atan}{\left(x \right)}\right) \log{\left(2 \right)}}{x^{2} + 1}$$
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
$$\frac{x \log{\left(8 \right)} + \left(x^{2} + 1\right) \log{\left(8 \right)} \operatorname{atan}{\left(x \right)}}{x^{2} + 1}$$
(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
$$\frac{3 x \log{\left(2 \right)}}{x^{2} + 1} + 3 \log{\left(2 \right)} \operatorname{atan}{\left(x \right)}$$
3*atan(x)*log(2) + 3*x*log(2)/(1 + x^2)