# Integration of Secant Squared X

Integration of secant squared of x is an important integral formula in integral calculus, and this integral belongs to the trigonometric formulae.

The integration of secant squared of x 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 the derivative, the integral sign and on the right side will cancel each other out, i.e.

__Other Integral Formulae of the Secant Tangent Function__

The other formulae of secant squared of x integral with an angle in the form of s function are given as

**1. **

**2. **

__Example__**:** Evaluate the integral with respect to

We have integral

Using the formula , we have