(a) The integral is .

Method 1:

First way by expanding :

Apply sum and difference rule in integration: 

.

.

Method 2:

Second way by u - substitution method:

Let .

Apply derivative on each side with respect to .

.

Substitute and in integral.

.

Substitute .

.

The answer is same in both the methods.

(b) The integral is .

Method 1:

Apply the General Power Rule for Integration:.

.

.

Method 2:

Second way by u - substitution method:

The integral is .

Let

Apply derivative on each side with respect to .

.

Substitute and in .

Substitute .

.

.

The answer is same in two methods.

(c) The integral is .

Method 1:

Apply the General Power Rule for Integration:. 

.

.

The integral is .

Method 2:

Second way by u - substitution method:

Let

Apply derivative on each side with respect to . 

.

Substitute and in .

Substitute .

.

The answer is same in both the methods.

(a) .

(b) .

(c) .