acot(x) acot(x) 2 acot(x) acot(x)
6 e 2*e 8*x *e 6*x*e
-- - --------- + ---------- - ------------- - ------------
4 3 2 3 3
x / 2\ / 2\ / 2\ / 2\
\1 + x / \1 + x / \1 + x / \1 + x /
$$- \frac{8 x^{2} e^{\operatorname{acot}{\left(x \right)}}}{\left(x^{2} + 1\right)^{3}} - \frac{6 x e^{\operatorname{acot}{\left(x \right)}}}{\left(x^{2} + 1\right)^{3}} + \frac{2 e^{\operatorname{acot}{\left(x \right)}}}{\left(x^{2} + 1\right)^{2}} - \frac{e^{\operatorname{acot}{\left(x \right)}}}{\left(x^{2} + 1\right)^{3}} + \frac{6}{x^{4}}$$