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Definite Integration question

2024 · 29 Jan · Shift 2 · Q60

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PYQ Library
JEE Main
Mathematics
Definite Integration
2024 · 29 Jan · Shift 2 · Q60

Definite Integration question

2024 · 29 Jan · Shift 2 · Q60

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

If

\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \sqrt{1-\sin 2 x} d x=\alpha+\beta \sqrt{2}+\gamma \sqrt{3}

, where

\alpha, \beta

and

\gamma

are rational numbers, then

3 \alpha+4 \beta-\gamma

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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