Let F₁(x,y) = y² + 2xy, F2(x,y) = x² -2y². Let C be the edge of that part of the disk with center at the origin and radius 1 which lies in the first quadrant, and which is oriented in the anti- clockwise direction. Use Green's theorem to calculate the line integral. [F₁(x, y)dx + F2(x,y) dy.

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