Primitive of Power of Hyperbolic Secant of a x by Hyperbolic Tangent of a x

Theorem

 * $\displaystyle \int \operatorname{sech}^n a x \tanh a x \ \mathrm d x = \frac {-\operatorname{sech}^n a x} {n a} + C$

Also see

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