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# Use a calculator to evaluate the line integral correct to four decimal places.$\displaystyle \int_C \textbf{F} \cdot d\textbf{r}$, where $\textbf{F}(x, y, z) = yze^x \, \textbf{i} + zxe^y \, \textbf{j} + xye^z \, \textbf{k}$ and $\textbf{r}(t) = \sin t \, \textbf{i} + \cos t \, \textbf{j} + \tan t \, \textbf{k}$, $0 \leqslant t \leqslant \pi/4$

## $0.927136$

Vector Calculus

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