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+1 vote
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in Indefinite Integral by (55.0k points)
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\(\int\frac{cosx}{\sqrt{sin^2x-2sin\,x-3}}dx\) = ?

∫cos x/√sin2x - 2sin x - 3}dx

A. log| sin x + \(\sqrt{sin^2x-2sin\,x-3}\)| + c

B. log| (sin x - 1) + \(\sqrt{sin^2x-2sin\,x-3}\)| + c

C. log| (sin x - 1) - \(\sqrt{sin^2x-2sin\,x-3}\)| + c

D. none of these

1 Answer

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by (49.9k points)
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Best answer

\(\int\frac{cosx}{\sqrt{sin^2x-2sin\,x-3}}dx\)

Let t = sin x 

dt = cos x dx

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