(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) .
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