Mathematics

Mathematics

Problem

The value of, ∫sin⁡x+cos⁡x9+16sin⁡2xdx\int \frac{\sin x + \cos x}{9 + 16 \sin 2x} dx is a. \frac{1}{40} \log \left| \frac{5+4(\sin x - \cos x)}{5-4(\sin x - \cos x)} \right| + C b. \log \left| \frac{5+4(\sin x - \cos x)}{5-4(\sin x - \cos x)} \right| + C c. \frac{1}{10} \log \left| \frac{5+4(\sin x + \cos x)}{5-4(\sin x + \cos x)} \right| + C d. None of these

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