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Definite Integration question

2022 · 27 Jul · Shift 1 · Q31

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JEE Main
Mathematics
Definite Integration
2022 · 27 Jul · Shift 1 · Q31

Definite Integration question

2022 · 27 Jul · Shift 1 · Q31

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

I=\int_{\pi / 4}^{\pi / 3}\left(\frac{8 \sin x-\sin 2 x}{x}\right) d x

. Then

A
${\pi \over 2} \lt I \lt {{3\pi } \over 4}$
B
${\pi \over 5} \lt I \lt {{5\pi } \over {12}}$
C
${{5\pi } \over {12}} \lt I \lt {{\sqrt 2 } \over 3}\pi$
D
${{3\pi } \over 4} \lt I \lt \pi$

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