Evaluate the integral: $\int \frac{\sin (2x)}{\sin^2 (x) + 2cos^2 (x)} \, dx = ?$

Question

$\log(1 + \cos^2 x) + C$

$\log(1 + \tan^2 x) + C$

$\log(1 + \sin^2 x) + C$

$-\log(1 + \cos^2 x) + C$

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