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

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

Correct Answer:

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