Let D be the region between the circles C₁ and C₂ centered at the origin of radius 1 and 4, respectively. Assume C₁ and C₂ are oriented positively with respect to D. Use the extended version of Green's theorem for circulation to calculate -3x 5y dx + dy + -3x y² dx + 5y √x² dy.

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A: This is a problem of differential Geometry.

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