Integration of cosecant cotangent function is an important integral formula in integral calculus; this integral belongs to trigonometric formulae.
The integration of cosecant cotangent is of the form
To prove this formula, consider
Using the derivative formula , we have
Integrating both sides of equation (i) with respect to , we have
As we know that by definition integration is the inverse process of derivative, so the integral sign and on the right side will cancel each other, i.e.
Other Integral Formulas of Cosecant Cotangent Function:
The other formulas of cosecant tangent integral with angle is in the form of function are given as
Example: Evaluate the integral with respect to
We have integral
Using the formula , we have