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March 5th, 2019, 11:25 PM   #1
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Double Integral Mathematics

Let S=[0,1]×[0,1]⊂R². What is the value of the following double integral?

∬max(x,y)dxdy over S will be equal to what?

Option given are: a)1/3 b)2/3 c)4/3 d)5/3
I am unable to determine the function to be integrated. Please help with the solution.

Last edited by greg1313; March 6th, 2019 at 05:41 AM.
shashank dwivedi is offline  
March 6th, 2019, 03:29 AM   #2
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By symmetry, it suffices to evaluate $\displaystyle \!\int_0^1\!\!\int_y^1\!\! x\, dx dy$ and then double the result.
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