# The Definite Integral of cos^4x from 0 to pi/4

In this tutorial we shall derive the definite integral of the trigonometric function from limits 0 to Pi/4.

The integration of the form is

Using the half angle formula from trigonometry , we have

Again, using the half angle formula from trigonometry , we have

First we evaluate this integration by using the integral formula , and then we using the basic rule of the definite integral . So we have,