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

Theorem

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

Also see

 * Primitive of $\coth^n a x \operatorname{csch}^2 a x$