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\text { Evaluate } \int_{C}((x-y) \mathrm{d} x+(y-x) \mathrm{d} y) \text { along the following paths } C (a) x = 1 – t², y = t between t = 0

and t = 1; b) the straight line joining (0, 0) and (1, 2); c) unit circle.

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