The general power rule of integration is another important formula of integration, and this rule needs th 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, 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
Here implies that
Multiplying and dividing the given integral by , we have
Using the general power formula of integration, we have