A Level

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

Problem

∫sin⁡2xsin⁡4x+cos⁡4x dx\int \frac{\sin 2x}{\sin^4 x+\cos^4 x}\,dx is equal to (a) cot⁡−1(cot⁡2x)+c\cot^{-1}(\cot^2 x)+c (b) −cot⁡−1(tan⁡2x)+c-\cot^{-1}(\tan^2 x)+c (c) tan⁡−1(tan⁡2x)+c\tan^{-1}(\tan^2 x)+c (d) −tan⁡−1(cos⁡2x)+c-\tan^{-1}(\cos 2x)+c

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