Let F = (2 + 2xy)i + xlj + 3xzlk. Show that the integral of F around the circumference of the unit …

Let F = (2 + 2xy)i + xlj + 3xzlk. Show that the integral of F around the circumference of the unit square with vertices (4, 0), (4, 1), (0, 1), and (0, 0) is zero.

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