Problem

甲、填充題：共 8 題，每題 8 分，共 64 分。請在答案卷上列出題號依序作答。

8. Evaluate the line integral $\displaystyle\oint_C 2xy\,dx+(x^2+2x)\,dy$, where $C$ is the boundary of the region lying between the graphs of the ellipse $\dfrac{x^2}{9}+\dfrac{y^2}{4}=1$ and the circle $x^2+y^2=1$. Answer : \underline{\quad(1)\quad}