Primitive of Cube of Hyperbolic Secant of a x

Theorem

 * $\displaystyle \int \sech^3 a x \rd x = \frac {\sech a x \tanh a x} {2 a} + \frac 1 {2 a} \map \arctan {\sinh a x} + C$

Also see

 * Primitive of $\tanh^3 a x$
 * Primitive of $\coth^3 a x$
 * Primitive of $\csch^3 a x$