Compute the Average Value Of $f ( x , y ) = x ^ { 2 } + y ^ { 2 }$

Short Answer

Compute the average value of $f ( x , y ) = x ^ { 2 } + y ^ { 2 }$ over $R = \{ ( x , y ) \mid 0 \leq x \leq 2,0 \leq y \leq 2 \}$ .