Use Green's Theorem to Evaluate $\int$ _C 2(2xy - Y²)dx + 2(x² - Y²)dy Where C

question 26

Essay

Use Green's Theorem to evaluate $\int$ _C 2(2xy - y²)dx + 2(x² - y²)dy where C is the boundary of the region enclosed by y = x and y = x². Assume that the curve c is traversed in a counterclockwise manner.

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