Use the Midpoint Rule to Estimate $\iint _ { R } ( 7 - 2 x - y ) d A$

Short Answer

Use the Midpoint Rule to estimate $\iint _ { R } ( 7 - 2 x - y ) d A$ over $R = \{ ( x , y ) \mid - 1 \leq x \leq 2 , - 1 \leq y \leq 2 \}$ partitioned by the lines x = 0, x = 1, y = 0, and y = 1 into nine subrectangles.