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The value of the definite integral \({\int }_{\frac{\pi }{24}}^{\frac{5\pi }{24}}\frac{dx}{1+\sqrt[3]{\tan 2x}}\) [JEE M…

Q1

The value of the definite integral \({\int }_{\frac{\pi }{24}}^{\frac{5\pi }{24}}\frac{dx}{1+\sqrt[3]{\tan 2x}}\)

[JEE Main 2021, 25 Jul (Shift 1)]

a

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

b

\(\frac{\pi}{12}\)

c

\(\frac{\pi}{3}\)

d

\(\frac{\pi}{18}\)

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