Suppose

vec$(F)(x,y)=e^{\frac{y}{5}}$vec$(i)-sin(x)vec(j)$

and $Cis$ the counter$-$clockwise oriented rectangle with vertices $(0,0),(3,0),(3,1),$ and $(0,1).$ Use Green's theorem $to$ calculate the line integral $of$ vec$(F)$ around $C.$

line integral $=$