Calculate the Double Riemann Sum of F for the Partition $\left( x _ { i j } ^ { * } , y _ { i j } ^ { * } \right)$

Short Answer

Calculate the double Riemann sum of f for the partition of R given by the indicated lines and the given choice of $\left( x _ { i j } ^ { * } , y _ { i j } ^ { * } \right)$ . $f ( x , y ) = x ^ { 2 } + 4 y$ , $R = \{ ( x , y ) \mid 0 \leq x \leq 2,0 \leq y \leq 3 \}$ , x = 1, y = 1, y = 2; $\left( x _ { i j } ^ { * } , y _ { i j } ^ { * } \right)$ = center of Rij.