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(Step-by-Step) Use Green's theorem to evaluate \oint_C Pdx+Qdy P(x, y)=xy, Q(x, y)=e^x ; C is the curve that goes from (0,0) to (2,0) along the x -axis

Question: Use Green's theorem to evaluate \(\oint_{C} \mathrm{Pdx}+\mathrm{Qdy}\) \(\mathrm{P}(\mathrm{x}, \mathrm{y})=\mathrm{xy}, \mathrm{Q}(\mathrm{x}, \mathrm{y})=\mathrm{e}^{\mathrm{x}} ; \mathrm{C}\) is the curve that goes from \((0,0)\) to \((2,0)\) along the \(\mathrm{x}\) -axis and then returns to \((0,0)\) along the parabola \(\mathrm{y}=2 \mathrm{x} - \mathrm{x}^{2}\).

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