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int(0)^(pi//4)(dx)/((1+cos2x))...

`int_(0)^(pi//4)(dx)/((1+cos2x))`

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To solve the integral \( I = \int_{0}^{\frac{\pi}{4}} \frac{dx}{1 + \cos 2x} \), we will follow these steps: ### Step 1: Rewrite the integrand using a trigonometric identity We know that: \[ \cos 2x = 2 \cos^2 x - 1 \] Thus, we can express \( 1 + \cos 2x \) as: ...
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