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:
 * $\map {\dfrac \d {\d x} } {\coth x} = -\csch^2 x$

The result follows from the definition of primitive.