Primitive of Square of Cosecant Function

Theorem

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

where $C$ is an arbitrary constant.

Proof
From Derivative of Cotangent Function:
 * $\dfrac{\mathrm d}{\mathrm dx} \cot \left({x}\right) = -\csc^2 \left({x}\right)$

The result follows from the definition of primitive.