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Problem 12 Easy Difficulty

Evaluate the line integral.
$\int_{C} x^{2} d y,$ where $C$ is the ellipse $4 x^{2}+y^{2}=4$ oriented counterclockwise

Answer

$=2 \int_{0}^{2 \pi} \cos ^{3} t d t=0$

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Video Transcript

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