Primitive of Square of Hyperbolic Cosecant Function

Theorem

 * $\displaystyle \int \csch^2 x \rd x = -\coth x + C$

where $C$ is an arbitrary constant.

Proof
From Derivative of Hyperbolic Cotangent:
 * $\dfrac \d {\d x} \map \coth x = -\map {\csch^2} x$

The result follows from the definition of primitive.