(a) Find a function f such that F = f and (b) use part (a) to evaluate...

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(a) Find a function f such that F = ∇f and (b) use part (a) to evaluate ∫C F • dr along the given curve C.F(x, y) = (3 + 2xy³) i + 2x²yj, Cis the arc of the hyperbola y = 1/x from (1, 1) to (4,)

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