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Compute the line integral 2xy dx + x^2 dy along the following curves. (a) C1 along...

Compute the line integral 2xy dx + x^2 dy along the following curves. (a) C1 along the circle x 2 + y 2 = 1 from the point (1, 0) to (0, 1) using x = cost, y = sin t. (b) C2 along the line x + y = 1 from (0, 1) to (1, 0). (c) C = C1 + C2 for the curves C1 and C2 in parts (a) and (b).

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