Primitive of Arccotangent of x over a over x

Theorem

 * $\displaystyle \int \frac {\operatorname{arccot} \frac x a \ \mathrm d x} x = \frac \pi 2 \ln \left\vert{x}\right\vert - \int \frac {\arctan \frac x a \ \mathrm d x} x$

Also see

 * Primitive of $\dfrac {\arcsin \frac x a} x$
 * Primitive of $\dfrac {\arccos \frac x a} x$
 * Primitive of $\dfrac {\arctan \frac x a} x$
 * Primitive of $\dfrac {\operatorname{arcsec} \frac x a} x$
 * Primitive of $\dfrac {\operatorname{arccsc} \frac x a} x$