Suppose $$\vec{F}(x,y) = e^{y/5} \vec{i} - \sin(x) \vec{j}$$ and $C$ is the counter-clockwise oriented rectangle with vertices $(0,0)$, $(1,0)$, $(1,3)$, and $(0,3)$. Use Green's theorem to calculate the circulation of $\vec{F}$ around $C$. Circulation =

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