Primitive of Hyperbolic Secant Function/Arcsine Form

Theorem

 * $\displaystyle \int \operatorname{sech} x \ \mathrm d x = \arcsin \left({\tanh x}\right) + C$

Proof
Let:

Let:

Then:

Also see

 * Primitive of Hyperbolic Secant Function/Arctangent Form


 * Primitive of Hyperbolic Cosecant Function