JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int\left(\frac{\cos x-\cos ^3 x}{1-\cos ^3 x}\right)^{1 / 2} d x=

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Correct option: B

-\frac{2}{3} \operatorname{Sin}^{-1}\left(\cos ^{3 / 2} x\right)+c

Option C (

\frac{1}{3} \sin ^3 x-\sin x

) is correct because after integrating and comparing with the given form, g(x) matches this expression.

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