Primitive of Cube of Hyperbolic Secant of a x

Theorem

 * $\displaystyle \int \operatorname{sech}^3 a x \ \mathrm d x = \frac {\operatorname{sech} a x \tanh a x} {2 a} + \frac 1 {2 a} \arctan \left({\sinh a x}\right) + C$

Also see

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