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Line Integral Along an Elliptical Arc

Calculus 1333
Evaluate the integral: $$\int_C xy\ \mathrm{d}s$$ where $C$ is the quarter-ellipse $x^2 + 4y^2 = 4$ in the first quadrant, traced out in the counterclockwise direction. The answer is in the form $\frac{\alpha}{\beta}$ for coprime integers $\alpha$ and $\beta$. Input the answer as the sum $\alpha +\beta$.