The integration of any constant of power is important and belongs to the exponential formulae. It is one of the simplest formulas of integration.
The integration of constant of power x is of the form
Where is any constant and must not be equal to zero.
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, 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
Using the integral formula , we have