Sr Examen
¿Cómo vas a descomponer esta atan(x)/x+log(x)/(1+x^2) expresión en fracciones?
Solución
Ha introducido
[src]
atan(x) log(x)
------- + ------
x 2
1 + x
$$\frac{\log{\left(x \right)}}{x^{2} + 1} + \frac{\operatorname{atan}{\left(x \right)}}{x}$$
atan(x)/x + log(x)/(1 + x^2)
Simplificación general
[src]
/ 2\
x*log(x) + \1 + x /*atan(x)
---------------------------
/ 2\
x*\1 + x /
$$\frac{x \log{\left(x \right)} + \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}}{x \left(x^{2} + 1\right)}$$
(x*log(x) + (1 + x^2)*atan(x))/(x*(1 + x^2))
Unión de expresiones racionales
[src]
/ 2\
x*log(x) + \1 + x /*atan(x)
---------------------------
/ 2\
x*\1 + x /
$$\frac{x \log{\left(x \right)} + \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}}{x \left(x^{2} + 1\right)}$$
(x*log(x) + (1 + x^2)*atan(x))/(x*(1 + x^2))
Combinatoria
[src]
2
x*log(x) + x *atan(x) + atan(x)
-------------------------------
/ 2\
x*\1 + x /
$$\frac{x^{2} \operatorname{atan}{\left(x \right)} + x \log{\left(x \right)} + \operatorname{atan}{\left(x \right)}}{x \left(x^{2} + 1\right)}$$
(x*log(x) + x^2*atan(x) + atan(x))/(x*(1 + x^2))
Denominador común
[src]
2
x*log(x) + x *atan(x) + atan(x)
-------------------------------
3
x + x
$$\frac{x^{2} \operatorname{atan}{\left(x \right)} + x \log{\left(x \right)} + \operatorname{atan}{\left(x \right)}}{x^{3} + x}$$
(x*log(x) + x^2*atan(x) + atan(x))/(x + x^3)
Denominador racional
[src]
/ 2\
x*log(x) + \1 + x /*atan(x)
---------------------------
/ 2\
x*\1 + x /
$$\frac{x \log{\left(x \right)} + \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}}{x \left(x^{2} + 1\right)}$$
(x*log(x) + (1 + x^2)*atan(x))/(x*(1 + x^2))