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\text { For the fucntion } f(x, y)=x^{2}+2 y \text { and the curve } C \text { given by equations } x=2 t, y=t^{3}, 0 \leq t \leq 1 \text {, we have, } \int_{C} f(x, y) d x=\int_{0}^{1}\left(4 t^{2}+2 t^{3}\right) d t

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