Question: Evaluate the line integral. (int_{C} y d x+z d y+x d z, quad mathbf{r}(t)=leftlangle 2+t^{-1}, t^{3}, t^{2}ightangle) for (0 leq t leq 1)

Evaluate the line integral.
\(\int_{C} y d x+z d y+x d z, \quad \mathbf{r}(t)=\left\langle 2+t^{-1}, t^{3}, t^{2}ightangle\) for \(0 \leq t \leq 1\)

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