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Use the double-angle formula $\cos 2 x=2 \cos ^{2} x-1$ to evaluate the integral $$ \int \frac{1}{1+\cos 2 x} d x $$...

Question

Use the double-angle formula $\cos 2 x=2 \cos ^{2} x-1$ to evaluate the integral $$ \int \frac{1}{1+\cos 2 x} d x $$

Use the double-angle formula $\cos 2 x=2 \cos ^{2} x-1$ to evaluate the integral $$ \int \frac{1}{1+\cos 2 x} d x $$



Answers

Evaluate the integral.

$ \displaystyle \int \sin x cos \left (\frac{1}{2} x \right) dx $


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