The transformation T : R? → R² defined by T(u, v) = (u – v, 2u – v) carries the rectangle R with vertices (0,0), (1,0), (1, –2), and (0, –2) into the parallelogram P with vertices (0,0), (1,2), (3, 4), and (2,2) (you should draw these). Use the change of variables defined by T to evaluate the integral || : xy dA.

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