Problem 5.3

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Suppose you want to evaluate $\int \frac{dx}{1+\textrm{sin }2x}$ and you've found $\int \frac{dx}{1+\textrm{sin }x}=-\textrm{tan }(\frac{\pi}{4}-\frac{x}{2})$ in a table of integrals. Use a change of variable to find the answer to the original problem.

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Problem 5.3