Set Up the Double Integral $\iint _ { R } ( x - y ) ^ { 2 } d A$

Essay

Set up the double integral $\iint _ { R } ( x - y ) ^ { 2 } d A$ over the trapezoidal region with vertices (0, 2), (0, 3), (2, 0), and (3, 0) using the transformation $$\begin{array} { l } u = x + y \\v = x - y\end{array}$$