/ / 1 \ \
| 3*|x - -------| |
| 3 3*x \ acot(x)/ |
2*pi*|----------------- - ---------------- + ----------------|
|/ 2\ 2 / 2\ / 2\ |
\\1 + x /*acot (x) \1 + x /*acot(x) \1 + x /*acot(x)/
--------------------------------------------------------------
2
/ 2\
\1 + x / *acot(x)
$$\frac{2 \pi \left(- \frac{3 x}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}} + \frac{3 \left(x - \frac{1}{\operatorname{acot}{\left(x \right)}}\right)}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}} + \frac{3}{\left(x^{2} + 1\right) \operatorname{acot}^{2}{\left(x \right)}}\right)}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}}$$