# Integral of Derivative over Function

The integration of derivative over function of is another important formula of integration.

The integration of derivative over function of is of the form

Now consider

Integrating both sides of equation (i) with respect to , we have

Since integration and differentiation are reverse processes to each other, the integral sign and on the right side will cancel each other out, i.e.

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

We have integral

Using the formula of integration

, we have

where is the constant of integration.