The integral (1 - 1/ 3 )( x − sin x)/(1 + (2/ 3 ) sin 2x) dx is equal to

JEE Main 2022 Mathematics question

The integral x − sin x)/(1 + sin 2x) dx is equal to

Answer: (1)

Write and cos x − sin . Also sin + sin ). So the integrand is \sqrt{3}\sqrt{2}\sin\sin$ (π /6 +

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Question ID VK-025092