Integration of derivative over function of is another important formula of integration.
The integration of derivative over function of 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
Using the formula for integration
, we have
Where is the constant of integration.