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explain solution rd sharma class 12 chapter Indefinite integrals exercise 18.1 question 2 sub question (ii) maths

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Answer: -\cos x+c

Hint: You must know the identity of \cos 2x

Given: \int \sqrt{\frac{1-\cos 2x}{2}}dx

Solution: \int \sqrt{\frac{1-\cos 2x}{2}}dx

            =\int \sqrt{\frac{2\sin ^{2} x}{2}}dx

            =\int \sin x\; dx

            =-\cos x+c


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