Let F = (P(x, y), Q(x, y)) = (xy, x + y) and let C be the circle x² + y² = 4, oriented counterclockwise (as above). Find the circulation of around C by using Green's theorem. In this case, Q = = and Py Thus the circulation of Faround C = = JS₁ 2 x² + y² = 4. Evaluating this, the circulation of Faround C is dA, where R is the region bounded by

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