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Calculus and Beyond Homework Help
How to Choose Limits for Double Integrals?
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[QUOTE="applestrudle, post: 4636611, member: 455361"] [h2]Homework Statement [/h2] ∫∫ydxdy over the triangle with vertices (-1,0), (0,2), (2,0) [h2]Homework Equations[/h2] I did it like this and got the right answer: ∫dy ∫ydx this first: ∫ydx from x = (y-2)/2 to x = 2-y then ∫dy from y = 0 to y = 2 I got 2 which is correct but when I tried another method, splitting them up across the y-axis i got 8/3: I did I = A+B A = ∫dx∫ydy ∫ydy from y = 0 to y = 2x+2 then I integrated from x = -1 to x =0 (I got 2/3) B = ∫dx∫ydy ∫ydy from y =0 to y = -x+2 then I integrated wrt x from x = 0 to x = 2 (I got 2) so the second answer was 8/3 Why was the second one wrong? I keep getting questions wrong because of the limits I choose! Could someone help me out please? [h2]The Attempt at a Solution[/h2] [/QUOTE]
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How to Choose Limits for Double Integrals?
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