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Problem 3 Medium Difficulty

Evaluate the line integral, where $ C $ is the given curve.

$ \displaystyle \int_C xy^4 \, ds $, $ C $ is the right half of the circle $ x^2 + y^2 = 16 $

Answer

$$
\int_{C} x y^{4} d s=\frac{8192}{5} \approx 1638.4
$$

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Video Transcript

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