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

question 55

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Evaluate the integral Bf(x,y,z) dV\iiint _ { B } f ( x , y , z ) d V where f(x,y,z) =xy2+yz2f ( x , y , z ) = x y ^ { 2 } + y z ^ { 2 } and B={(x,y,z) 0x2,1y1,0z3}B = \{ ( x , y , z ) \mid 0 \leq x \leq 2 , - 1 \leq y \leq 1,0 \leq z \leq 3 \} with respect to x,yx , y , and zz , in that order.

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