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Compute the Flux Integral of the Vector Field G=6yi+2xj+6xyzk\vec { G } = - 6 y \vec { i } + 2 x \vec { j } + 6 x y z \vec { k }

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Compute the flux integral of the vector field G=6yi+2xj+6xyzk\vec { G } = - 6 y \vec { i } + 2 x \vec { j } + 6 x y z \vec { k } through the square 0y2,0z20 \leq y \leq 2,0 \leq z \leq 2 in the yz-plane, oriented so that the normal vector points in the direction of the x-axis.


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