March 5th, 2019, 11:25 PM  #1 
Member Joined: Apr 2017 From: India Posts: 49 Thanks: 0  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. 
March 6th, 2019, 03:29 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,373 Thanks: 2010 
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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double, integral, mathematics, multivariable calculus 
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