Calculate the Double Integral $\iint _ { R } x y e ^ { y } d A , R = \{ ( x , y ) \mid 0 \leq x \leq 2,0 \leq y \leq 2 \}$

Short Answer

Calculate the double integral. Round your answer to two decimal places. $\iint _ { R } x y e ^ { y } d A , R = \{ ( x , y ) \mid 0 \leq x \leq 2,0 \leq y \leq 2 \}$