GATE EC 2019 Set 1 — Question 29
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Engineering Mathematics → Calculus → Double & Triple Integrals
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Question
The value of the integral , is equal to _______.
Correct answer
1.99 to 2.01
Solution
To evaluate the integral , we change the order of integration because the inner integral does not have an elementary antiderivative.
The new limits are and .
1.Identify the region of integration:
The given limits are and . This describes a triangular region in the -plane with vertices at , , and .2.Change the order of integration:
To integrate with respect to first, we fix and let vary from the lower boundary to the upper boundary . Then, varies from to .The new limits are and .
3.Evaluate the new integral:
The value of the integral is .Continue learning with Success Tracker
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