Example: Evaluate the integral
with respect to .
We have integral
Putting and differentiating
Now the above integral of the form
We observe that the derivation of given function is in the given problem, so using the general power formula of integration
Here implies that
Now using the original substitution again in the result of the integration, we have
Example: Integrate with respect to .
Consider the function to be integrate
Putting and differentiating implies
Now by using these values, equation (i) becomes
Using the formula of integration , we have