Let R be the region inside the ellipse x = 4 cos 0, y = 3 sin and outside the circle x = 2 cos 0, y = 2 sin 8. Evaluate the line integral [ (3x where C = C₂ + C₂ is the boundary of R, as shown in the figure. +3) dx + (x³ + 4x) dy (3x²y + R - C₁: Ellipse C₂: Circle C₂ w. 3 C₁

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