If \int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \sqrt{1- \sin 2 x} \dx=\alpha+\beta \sqrt{2}+\gamma \sqrt{3}, where \alpha, \beta and \gamma are rational numbers, then 3 \alpha+4 \beta-\gamma is equal to___ [29-Jan-2024 Shift 2]

JEE Main 29-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 24 of 90

Marks: +1, -0

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√1−sin‌2x‌dx=α+β√2+γ√3, where α,β and γ are rational numbers, then 3α+4β−γ is equal to___

[29-Jan-2024 Shift 2]

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