Primitive of Arccosine of x over a over x

Theorem

 * $\displaystyle \int \frac {\arccos \frac x a \ \mathrm d x} x = \frac \pi 2 \ln \left\vert{x}\right\vert - \int \frac {\arcsin \frac x a \ \mathrm d x} x + C$

Also see

 * Primitive of $\dfrac {\arcsin \dfrac x a} x$


 * Primitive of $\dfrac {\arctan \dfrac x a} x$


 * Primitive of $\dfrac {\operatorname{arccot} \dfrac x a} x$


 * Primitive of $\dfrac {\operatorname{arcsec} \dfrac x a} x$


 * Primitive of $\dfrac {\operatorname{arccsc} \dfrac x a} x$