Calculate (int_{C} 1 d s), where the curve (C) is parametrized by (mathbf{r}(t)=leftlangle e^{t}, sqrt{2} t, e^{-t}ightangle)
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Calculate \(\int_{C} 1 d s\), where the curve \(C\) is parametrized by \(\mathbf{r}(t)=\left\langle e^{t}, \sqrt{2} t, e^{-t}ightangle\) for \(0 \leq t \leq 2\).
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