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 disk $x ^ { 2 } + z ^ { 2 } \leq 25$ on the plane $y = 5$ , oriented in the positive y-direction.