Hi guys, I've been on quite a random change of variables binge lately and I've been messing around with a particular scenario in which I'm not 100% sure of how I should choose my limits of integration. Any help would be greatly appreciated! (And no, this is not homework, etc.) The scenario is as follows:(adsbygoogle = window.adsbygoogle || []).push({});

Domain of integration in the xy plane is some rectangle in the 1st quadrant with vertices (a,c), (b,c), (a,d), (b,d), and I want to make a change of variables using x = u + [itex]\sqrt{u^2 - v^2}[/itex] and y = u - [itex]\sqrt{u^2 - v^2}[/itex]. Other than the fact that this transformation would inherently require v≤u, I'm just not certain on how to determine the other numerical limits of integration for u and v.

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# Limits of integration problem

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