Use the Given Transformation to Evaluate the Integral $\iint _ { R } ( x + y ) d A$

Multiple Choice

Use the given transformation to evaluate the integral. $\iint _ { R } ( x + y ) d A$ , where R is the square with vertices (0, 0) , (4, 6) , (6, $- 4$ ) , (10, 2) and $x = 4 u + 6 v , y = 6 u - 4 v$

A) 208
B) 52
C) 343
D) 42
E) 312