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 April 19th, 2017, 05:55 PM #1 Newbie   Joined: Apr 2017 From: Brazil Posts: 2 Thanks: 0 How do I solve this integral? integral ((y - x)^(1/3))/(1 + y + x) dx dy Integrating over R being a triangle: (0,0) (1,0) (0,1) I wrote R in the polar form: 0 < theta < pi/4 0 < r < 1/(sin(theta) + cos(theta)) But still can't integrate..
April 19th, 2017, 06:13 PM   #2
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by examining the symmetry with respect the line $y=x$ it should be pretty clear this integrates to $0$ over that triangle.

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 April 20th, 2017, 04:23 AM #3 Newbie   Joined: Apr 2017 From: Brazil Posts: 2 Thanks: 0 Great!! Well observed! It can be also solved rotating the coordinate system by pi/4

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