Use the Divergence Theorem to find the flux of the vector field $\vec { F } = \left( 4 x ^ { 3 } + 4 y z \right) \vec { i } + \left( 4 y ^ { 3 } + 8 x z \right) \vec { j } + \left( 4 z ^ { 3 } + 16 y x \right) \vec { k }$ through the cube 0$\le$ x $\le$ 1, 0 $\le$y $\le$1, 0 $\le$ z $\le$1.

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The Answer of Use the Divergence Theorem to find the flux of the vector field $\vec { F } = \left( 4 x ^ { 3 } + 4 y z \right) \vec { i } + \left( 4 y ^ { 3 } + 8 x z \right) \vec { j } + \left( 4 z ^ { 3 } + 16 y x \right) \vec { k }$ through the cube 0$\le$ x $\le$ 1, 0 $\le$y $\le$1, 0 $\le$ z $\le$1.

Use the Divergence Theorem to Find the Flux of the Vector