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The value of the integral \({\int }_{-\frac{\pi }{4}}^{\frac{\pi }{4}}\frac{x+\frac{\pi }{4}}{2-\cos 2x}dx\) is: [JEE Ma…

Q1

The value of the integral \({\int }_{-\frac{\pi }{4}}^{\frac{\pi }{4}}\frac{x+\frac{\pi }{4}}{2-\cos 2x}dx\) is:

[JEE Main 2023, 1 Feb (Shift 2)]

a

\(\frac{\pi^2}{6}\)

b

\(\frac{\pi^2}{12 \sqrt{3}}\)

c

\(\frac{\pi^2}{3 \sqrt{3}}\)

d

\(\frac{\pi^2}{6 \sqrt{3}}\)

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