If ∫_(π/6)^(π/3) √(1 - sin 2x) dx = α + β√2 + γ√3, where α, β, γ… | JEE Main 2024 Mathematics PYQ

NVAMediumJEE Main 2024 · 29 January, Shift 2Definite Integrals

If $\int_{\pi/6}^{\pi/3} \sqrt{1 - \sin 2x} \, dx = \alpha + \beta\sqrt{2} + \gamma\sqrt{3}$ , where $\alpha$ , $\beta$ , $\gamma$ are rational numbers, then $3\alpha + 4\beta - \gamma$ is equal to:

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