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Please solve rd sharma class 12 chapter Indefinite integrals exercise 18.1 question 2 sub question (i) maths textbook solution

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Answer: \sin 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\cos^{2} x}{2}}dx

            =\int \cos x\; dx

            =\sin x+c

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