Simplificación general
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/ / 2\ \
pi*\x - \1 + x /*atan(x)/
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2 / 2\
x *\1 + x /
$$\frac{\pi \left(x - \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}\right)}{x^{2} \left(x^{2} + 1\right)}$$
pi*(x - (1 + x^2)*atan(x))/(x^2*(1 + x^2))
3.14159265358979/(x*(1.0 + x^2)) - 3.14159265358979*atan(x)/x^2
3.14159265358979/(x*(1.0 + x^2)) - 3.14159265358979*atan(x)/x^2
/ 2 \
-\pi*atan(x) - pi*x + pi*x *atan(x)/
-------------------------------------
2 4
x + x
$$- \frac{\pi x^{2} \operatorname{atan}{\left(x \right)} - \pi x + \pi \operatorname{atan}{\left(x \right)}}{x^{4} + x^{2}}$$
-(pi*atan(x) - pi*x + pi*x^2*atan(x))/(x^2 + x^4)
Abrimos la expresión
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pi*atan(x) pi
- ---------- + ----------
2 / 2\
x x*\1 + x /
$$- \frac{\pi \operatorname{atan}{\left(x \right)}}{x^{2}} + \frac{\pi}{x \left(x^{2} + 1\right)}$$
-pi*atan(x)/x^2 + pi/(x*(1 + x^2))
Denominador racional
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2 / 2\
pi*x - pi*x*\1 + x /*atan(x)
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3 / 2\
x *\1 + x /
$$\frac{\pi x^{2} - \pi x \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}}{x^{3} \left(x^{2} + 1\right)}$$
(pi*x^2 - pi*x*(1 + x^2)*atan(x))/(x^3*(1 + x^2))
Unión de expresiones racionales
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/ / 2\ \
pi*\x - \1 + x /*atan(x)/
-------------------------
2 / 2\
x *\1 + x /
$$\frac{\pi \left(x - \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}\right)}{x^{2} \left(x^{2} + 1\right)}$$
pi*(x - (1 + x^2)*atan(x))/(x^2*(1 + x^2))
/ 2 \
-pi*\-x + x *atan(x) + atan(x)/
--------------------------------
2 / 2\
x *\1 + x /
$$- \frac{\pi \left(x^{2} \operatorname{atan}{\left(x \right)} - x + \operatorname{atan}{\left(x \right)}\right)}{x^{2} \left(x^{2} + 1\right)}$$
-pi*(-x + x^2*atan(x) + atan(x))/(x^2*(1 + x^2))