Let $F(x,y)=($:$4cos(y),3sin(y)$:$).$ Compute the flux $o{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}F*nds$ of $F$ across the boundary of the rectangle $0x5,0y\frac{}{2}$ using the vector form of Green's Theorem.

$($Use symbolic notation and fractions where needed.$)$

$o{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}F*nds=$

$$