Calculate the Flux Of ${ \vec { F } } = \left( x ^ { 2 } + z ^ { 2 } \right) y \vec { j }$

Essay

Calculate the flux of ${ \vec { F } } = \left( x ^ { 2 } + z ^ { 2 } \right) y \vec { j }$ , through the plane rectangle y = 4, 0 $\le$ x $\le$ 4, 0 $\le$ z $\le$ 5, oriented in the positive y-direction.