GATE EC 2014 Set 1 — Question 38
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Engineering Mathematics → Calculus → Double & Triple Integrals
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Question
The volume under the surface and above the triangle in the - plane defined by is _________.
Correct answer
862 to 866
Solution
The volume under a surface over a region is given by the double integral:Given the region is a triangle defined by and , we can set up the iterated integral as follows:First, evaluate the inner integral with respect to :Now, evaluate the outer integral with respect to :Thus, the volume is 864.
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