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

Short Answer

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