Primitive of Square of Hyperbolic Cosecant Function

Theorem

 * $\displaystyle \int \operatorname{csch}^2 x \ \mathrm d x = -\coth x + C$

where $C$ is an arbitrary constant.

Proof
From Derivative of Hyperbolic Cotangent Function:
 * $\dfrac{\mathrm d}{\mathrm d x} \coth \left({x}\right) = -\operatorname{csch}^2 \left({x}\right)$

The result follows from the definition of primitive.