Question

Evaluate the integral.

Answer 1

Step 1:

The integral is .

Assume .

Differentiate  with respect to on each side.

Substitute and in .

                     Since

.

Answer 2

Continued:

Step 2:

Consider .

Assume .

Differentiate  with respect to on each side.

substitute and in .

Recall the integral formula , Where is an constant of integration.

Replace with

Substitute value in Equation(1).

Substitute in above result.

Solution:

.