In Problem $6,$ calculate the flux integral. $(16$ points$)$ A$.$ Let vec$(F)(x,y,z)=($:$0,0,2$:$),$ and let $S_1$ be the rectangle with vertices $(-1,0,0),(-1,3,4),(2,3,4),$ and $(2,0,0)*S_1$ is oriented in the positive $z$ direction. Evaluate ${\displaystyle \underset{S_1}{\overset{\phantom{}}{}}}$vec$(F)*dvec(A).$ Show your calculations.In Problem $6,$ calculate the flux integral. $(16$ points$)$ A$.$ Let vec$(F)(x,y,z)=($:$0,0,2$:$),$ and let $S_1$ be the rectangle with vertices $(-1,0,0),(-1,3,4),(2,3,4),$ and $(2,0,0)*S_1$ is oriented in the posit