The value of

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

The value of, ∫sin⁡x+cos⁡x9+16sin⁡2xdx\int \frac{\sin x + \cos x}{9 + 16 \sin 2x} dx is (1) \frac{1}{40} \log \left| \frac{5+4(\sin x - \cos x)}{5-4(\sin x - \cos x)} \right| + C (2) \log \left| \frac{5+4(\sin x - \cos x)}{5-4(\sin x - \cos x)} \right| + C (3) \frac{1}{10} \log \left| \frac{5+4(\sin x + \cos x)}{5-4(\sin x + \cos x)} \right| + C (4) None of these

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