cos x sin2 x 4 sin x 5 d x equals

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Solution

Q.
$\int \frac{\cos x}{\sin^{2} x + 4 \sin x + 5} d x equals$

1 $\tan^{- 1} (\sin x) + c$

2 $\tan^{- 1} (\sin x + 2) + c$

3 $\tan^{- 1} (\sin x + 1) + c$

4 $\tan^{- 1} (\cos x) + c$

Ans.
(2)

$Put \sin x = t$

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