$($c$){\displaystyle \underset{C}{\overset{\phantom{}}{}}}(si{n}^3(x)+y)dx+e^{-y^2}dy,$ where $C$ is the portion of the circle $(x-1{)}^2+y^2=1$ from $(2,0)$ to $(0,0).($Hint: Note that this curve is not closed, so we will not be able to use Green's Theorem immediately...$)$