General Power Rule of integration is another important formula of integration. And this rules need derivative of the given function within the problem.
The general 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 , 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
Multiplying and dividing by the given integral, we have
Using general power formula of integration, we have