Use the Change of Variables X = 2u + 3v $\iint _ { R } ( x + y ) d A$

Short Answer

Use the change of variables x = 2u + 3v, y = 3u - 2v to evaluate $\iint _ { R } ( x + y ) d A$ , where R is the square with vertices (0, 0), (2, 3), (5, 1), and (3, -2).