Let R be the annulus defined by {1 ≤ x² + y² ≤ 4} and let C₁ and C₂ be the circles of ratius 2 and 1 respectively around the origin, oriented counterclockwise. (-y, 2x). Show by direct calculation that Let F = fc, FoT ds-fc₂F o T ds = f curl F dA.

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