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Vector Algebra and Calclus. Double Integral

Stuck on my HW wondered if anyone could help...

Evaluate the double integral ∫∫(R) 2xy. dA
Where R is the region contained in the boundaries of the lines joining:
O(0,0), A(2,2), B(2,3) and C(0,1)

Thanks
(edited 12 years ago)
Reply 1
Original post by JoshHunt
Stuck on my HW wondered if anyone could help...

Evaluate the double integral ∫∫(R) 2xy. dA
Where R is the region contained in the boundaries of the lines joining:
O(0,0), A(2,2), B(2,3) and C(2,1)

Thanks


If these point are right (A is on the line BC) then the region is a triangle, where
0<=x<=2 and 1/2*x<=y<=3/2*x
Reply 2
Original post by ztibor
If these point are right (A is on the line BC) then the region is a triangle, where
0<=x<=2 and 1/2*x<=y<=3/2*x


C is (0,1) sorry.
Reply 3
bump
Reply 4
I was once given an assignment on which a similar integral over a paralellogram was given, along with the hint that I should consider a change of variables created by using the affine transformation mapping the paralellogram to the unit square. I didn't actually do that assignment so I can't really help you any further, but hopefully the hint will get you going :smile:

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