JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \cos x \sqrt{4-\sin ^2 x} d x=

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Correct option: B

\frac{1}{2} \sin x \sqrt{4-\sin ^2 x}+2 \sin ^{-1}\left(\frac{1}{2} \sin x\right)+c

Option B is correct because the integral can be solved using trigonometric substitution, resulting in

\frac{1}{2} \sin x \sqrt{4-\sin ^2 x}+2 \sin ^{-1}(\frac{1}{2} \sin x)+c

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