Integration of secant squared of x is an important integral formula in integral calculus; this integral belongs to 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 derivative, so the integral sign and on the right side will cancel each other, i.e.
Other Integral Formulas of Secant Tangent Function:
The other formulas of secant squared of x 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