Question: (a) Find a function f such that F = f and (b) use part (a) to evaluate C F dr along the given

(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) = x²y³ i + x³y² j, C: r(t) = (t – 2t, t³ + 2t), .3,,2 0 <t<1

F(x, y) = xy i + xy j, C: r(t) = (t 2t, t + 2t), .3,,2 0

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