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Calculus and Beyond Homework Help
Evaluating the Integral ∫∫xexy dxdy from 0≤x≤1, 0≤y≤1
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[QUOTE="says, post: 5450895, member: 517464"] [h2]Homework Statement [/h2] ∫∫xe[SUP]xy[/SUP] dxdy where upper and lower limits are 0≤x≤1, 0≤y≤1 so I complete u substitution and get the integral 1/y[SUP]2[/SUP] ∫ u*e[SUP]u[/SUP] du Now with integration by parts I end up with xy*e[SUP]xy[/SUP]-e[SUP]xy[/SUP]/y[SUP]2[/SUP] I have to evaluate this integral at 0≤x≤1, 0≤y≤1, as mentioned above. The problem I have is that after evaluating I get an answer of 1, but I've computed this question into symbolab online and it says the answer is e-2. I was wondering how these two statements are equivalent (below) (e[SUP]y[/SUP](y-1)+1)/y[SUP]2[/SUP] (e[SUP]y[/SUP] - (e[SUP]y[/SUP] (y-1))/y) - 1/y [h2]Homework Equations[/h2][h2]The Attempt at a Solution[/h2] [/QUOTE]
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Calculus and Beyond Homework Help
Evaluating the Integral ∫∫xexy dxdy from 0≤x≤1, 0≤y≤1
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