GATE CS 2014 Set 3 — Question 16
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Engineering Mathematics → Calculus → Integration
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Question
If , then the value of is equal to ______ .
Correct answer
4 to 4
Solution
We need to evaluate the integral .Since in the interval , we have .
The sign of changes at :
Let
Let
Now, evaluate the definite integrals:
The sign of changes at :
- For , .
- For , .
Let
Let
Now, evaluate the definite integrals:
1.For :
2.For :
Substitute back into the expression for :Given that , we have:The value of is 4.Continue learning with Success Tracker
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