Sr Examen
¿Cómo vas a descomponer esta atan(x)/2-x/(2+2*x^2) expresión en fracciones?
Solución
Ha introducido
[src]
atan(x) x
------- - --------
2 2
2 + 2*x
$$- \frac{x}{2 x^{2} + 2} + \frac{\operatorname{atan}{\left(x \right)}}{2}$$
atan(x)/2 - x/(2 + 2*x^2)
Simplificación general
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/ 2\
-x + \1 + x /*atan(x)
---------------------
/ 2\
2*\1 + x /
$$\frac{- x + \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}}{2 \left(x^{2} + 1\right)}$$
(-x + (1 + x^2)*atan(x))/(2*(1 + x^2))
Unión de expresiones racionales
[src]
/ 2\
-x + \1 + x /*atan(x)
---------------------
/ 2\
2*\1 + x /
$$\frac{- x + \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}}{2 \left(x^{2} + 1\right)}$$
(-x + (1 + x^2)*atan(x))/(2*(1 + x^2))
Combinatoria
[src]
2
-x + x *atan(x) + atan(x)
-------------------------
/ 2\
2*\1 + x /
$$\frac{x^{2} \operatorname{atan}{\left(x \right)} - x + \operatorname{atan}{\left(x \right)}}{2 \left(x^{2} + 1\right)}$$
(-x + x^2*atan(x) + atan(x))/(2*(1 + x^2))
Denominador racional
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/ 2\
-2*x + \2 + 2*x /*atan(x)
-------------------------
2
4 + 4*x
$$\frac{- 2 x + \left(2 x^{2} + 2\right) \operatorname{atan}{\left(x \right)}}{4 x^{2} + 4}$$
(-2*x + (2 + 2*x^2)*atan(x))/(4 + 4*x^2)