Evaluate the Integral $\iiint _ { B } f ( x , y , z ) d V$

question 18

Multiple Choice

Evaluate the integral $\iiint _ { B } f ( x , y , z ) d V$ where $f ( x , y , z ) = x y ^ { 2 } + y z ^ { 2 }$ and $B = \{ ( x , y , z ) \mid 0 \leq x \leq 2 , - 1 \leq y \leq 1,0 \leq z \leq 3 \}$ with respect to $x , y$ , and $z$ , in that order.

• A) 28
• B) 36
• C) 4
• D) 24