Question

Find the integral. (Note: Slove by the simplest method --- not all require integration by parts.)

Answer 1

Step 1:

The integral is .

Find the integral using integration by parts.

Formula for integration by parts.:.

Here consider and

Find by integrating .

Step 2:

Consider .

Differentiate with respect to on each side

Substitute corresponding values in integration by parts formula.

Solution:

.