題組內容
8. (15%) The line integral is \( \int_{(1,1)}^{(2,4)} 2xy \, dx + x^2 \, dy \)
(1) Prove the given line integral is independent of the path.
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8. (15%) The line integral is \( \int_{(1,1)}^{(2,4)} 2xy \, dx + x^2 \, dy \)
(1) Prove the given line integral is independent of the path.