Primitive of Arccotangent of x over a over x

Theorem

 * $\ds \int \frac {\arccot \frac x a \rd x} x = \frac \pi 2 \ln \size x - \int \frac {\arctan \frac x a \rd x} x$

Also see

 * Primitive of $\dfrac 1 x \arcsin \dfrac x a$


 * Primitive of $\dfrac 1 x \arccos \dfrac x a$


 * Primitive of $\dfrac 1 x \arctan \dfrac x ax$


 * Primitive of $\dfrac 1 x \arcsec \dfrac x ax$


 * Primitive of $\dfrac 1 x \arccsc \dfrac x ax$