Question: Compute (int_{C} f d s) for the curve specified. (f(x, y, z)=x^{2} z, quad mathbf{r}(t)=leftlangle e^{t}, sqrt{2} t, e^{-t}ightangle) for (0 leq t leq 1)

Compute \(\int_{C} f d s\) for the curve specified.

\(f(x, y, z)=x^{2} z, \quad \mathbf{r}(t)=\left\langle e^{t}, \sqrt{2} t, e^{-t}ightangle\) for \(0 \leq t \leq 1\)

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