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06:15
Problem 53

# Evaluate the following line integrals using a method of your choice.$\oint_{C} \mathbf{F} \cdot d \mathbf{r},$ where $\mathbf{F}=\left\langle 2 x y+z^{2}, x^{2}, 2 x z\right\rangle$ and $C$ is the circle$\mathbf{r}(t)=\langle 3 \cos t, 4 \cos t, 5 \sin t\rangle,$ for $0 \leq t \leq 2 \pi$

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