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