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| PAGE: 303 | SET: Exercises | PROBLEM: 80 |
(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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