Integration of power of some function is a general formula of exponential function and this formula need derivative of the given function and this formula has an importance in integral calculus.

The integration of e power x of function is of the form

Now consider

Using the derivative formula , we have

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

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

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

We have integral

Here implies that , so using formula, we have

Using integration formula , we have