Primitive of Hyperbolic Cosecant Function/Inverse Hyperbolic Cotangent Form

Theorem

 * $\displaystyle \int \operatorname{csch} x \ \mathrm d x = -2 \coth^{-1} \left({e^x}\right) + C$

Proof
Let:

Let:

Then:

Also see

 * Primitive of Hyperbolic Secant Function