Question: Let R be the region inside the circle x = 5 cos , y = 5 sin and outside the ellipse x = 2

Let R be the region inside the circle x = 5 cos θ, y = 5 sin θ and outside
the ellipse x = 2 cos θ, y = sin θ. Evaluate the line integral

(e-x/2y) dx + (e-/2 + x) dy -

where C = C₁ + C₂ is the boundary of R, as shown in the figure.

(e-x/2y) dx + (e-/2 + x) dy -

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