Assorted Integrations

Use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

Step 1 of 3:

In this problem, we need to evaluate the integral , by using an appropriate substitution and then trigonometric substitution.

Step 2 of 3:

Given integral is

Let us take,

Now differentiating on both sides we get

If , then

If , then

Hence, the limits are

Substitute, these values in the given integral we get.