Suppose that ♬ = 5x²/5 + ev/²3, and let C be the path consisting of (i) an arc along y = x² - 1 from (1,0) to (2, 3) followed by (ii) a line segment from (2, 3) to (-1,0) followed by (iii) a quarter-circular clockwise arc of radius 1 centered at the origin from (-1,0) to (0, 1) Compute the line integral SF. dr. Sc F. dr = (Hint: Is the vector field conservative?)

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