Primitive of Square of Cosecant Function

Theorem

 * $\displaystyle \int \csc^2 x \rd x = -\cot x + C$

where $C$ is an arbitrary constant.

Proof
From Derivative of Cotangent Function:
 * $\dfrac \d {\d x} \cot x = -\csc^2 x$

The result follows from the definition of primitive.

Also see

 * Primitive of Square of Secant Function