Question: Let F = (2x^3y^4 + 2x, 2x^4y^3 + y). Given that f(x, y) = 1/2x^4y4 + x^2 + 1/2y^2 is a potential function of F~

Let F = (2x^3y^4 + 2x, 2x^4y^3 + y). Given that f(x, y) = 1/2x^4y4 + x^2 + 1/2y^2 is a potential function of F~ . Find R C f d~r , where C is a curve defined by x = t cos(t) 1, y = sin(t/2), 0 t 2.

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