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Problem 3 Easy Difficulty

Given that $C$ is the curve $\mathbf{r}(t)=\langle\cos t, t\rangle,$ for $\pi / 2 \leq t \leq \pi$ convert the line integral $\int_{C} \frac{x}{y} d s$ to an ordinary integral. Do not evaluate the integral.

Answer

$\int_{\pi / 2}^{n} \frac{1}{t} \cos t \sqrt{\sin ^{2} t+1} d t$

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