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Problem 23 Hard Difficulty

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) = \sqrt{x + y} \, \textbf{i} + (y/x) \, \textbf{j} $ and $ \textbf{r}(t) = \sin^2 t \, \textbf{i} + \sin t \cos t \, \textbf{j} $, $ \pi/6 \leqslant t \leqslant \pi/3 $




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