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F(x, y) = (4xy' + 2)i+ (6x2) + 2e2y )j is conservative by finding a potential function f for F, and use f to compute

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F(x, y) = (4xy' + 2)i+ (6x2) + 2e2y )j is conservative by finding a potential function f for F, and use f to compute F . dr, where C is the curve given by 2t r(t) = (2 sin' t)i + sin *(5t) ) j for 0

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