Question: Compute (int_{C} mathbf{F} cdot d mathbf{r}) for the oriented curve specified. (mathbf{F}(x, y)=leftlangle 3 z y^{-1}, 4 x,-yightangle, quad mathbf{r}(t)=leftlangle e^{t}, e^{t}, tightangle) for (-1

Compute \(\int_{C} \mathbf{F} \cdot d \mathbf{r}\) for the oriented curve specified.

\(\mathbf{F}(x, y)=\left\langle 3 z y^{-1}, 4 x,-yightangle, \quad \mathbf{r}(t)=\left\langle e^{t}, e^{t}, tightangle\) for \(-1 \leq t \leq 1\)

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