A Level

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

∫cos⁡x(1+sin⁡x)(2+sin⁡x) dx=\int\frac{\cos x}{(1+\sin x)(2+\sin x)}\,dx= (a) log⁡[(1+sin⁡x)(2+sin⁡x)]+C\log\big[(1+\sin x)(2+\sin x)\big]+C (b) log⁡2+sin⁡x1+sin⁡x+C\log\frac{2+\sin x}{1+\sin x}+C (c) log⁡1+sin⁡x2+sin⁡x+C\log\frac{1+\sin x}{2+\sin x}+C (d) None of these

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