Question

Evaluate the integral.

Answer 1

Step 1:

The integral is .

Use formula for integration by parts :.

Assume .

.

Substitute these values in the formula for integration by parts.

.               equation (1)

Step 2:

Consider .

Similarly,

Use formula for integration by parts :.

Assume .

.

Substitute these values in the formula for integration by parts.

.

Substitute in equation (1).

Solution :

.