Compute (int_{C} mathbf{F} cdot d mathbf{r}) for the oriented curve specified. (mathbf{F}(x, y, z)=leftlanglefrac{1}{y^{3}+1}, frac{1}{z+1}, 1ightangle, quad

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

$\mathbf{F}(x, y, z)=\left\langle\frac{1}{y^{3}+1}, \frac{1}{z+1}, 1ightangle, \quad \mathbf{r}(t)=\left\langle t^{3}, 2, t^{2}ightangle$ for $0 \leq t \leq 1$

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 23, 2024 12:02 PM

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Compute (int_{C} mathbf{F} cdot d mathbf{r}) for the oriented curve specified. (mathbf{F}(x, y, z)=leftlanglefrac{1}{y^{3}+1}, frac{1}{z+1}, 1ightangle, quad

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Step 1 Calculate the integrand We have beginaligned mathbfrt ...View the full answer

Calculus

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