The power rule of integration is an important and fundamental formula in integral calculus. We already know that the inverse process of differentiation is called integration.
The basic power rule of integration is of the form
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
In the given function we have two terms. Now separating the integral in these two functions, we get
Now using the power rule of integration, we have