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Show that for F(x, y) = 〈6x2y − 4, 2x3 − 4y3 + 4〉, the line...

Show that for F(x, y) = 〈6x2y − 4, 2x3 − 4y3 + 4〉, the line integral ∫ C F(x, y) · dr is independent of path. Then, evaluate the line integral for any curve C with initial point at (−1, 3) and terminal point at (3, 4).

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