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Definite Integration question

2024 · 8 Apr · Shift 2 · Q38

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PYQ Library
JEE Main
Mathematics
Definite Integration
2024 · 8 Apr · Shift 2 · Q38

Definite Integration question

2024 · 8 Apr · Shift 2 · Q38

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

\int\limits_\alpha^{\log_e 4} \frac{\mathrm{d} x}{\sqrt{\mathrm{e}^x-1}}=\frac{\pi}{6}

. Then

\mathrm{e}^\alpha

and

\mathrm{e}^{-\alpha}

are the roots of the equation :

A
$2 x^2-5 x+2=0$
B
$x^2-2 x-8=0$
C
$2 x^2-5 x-2=0$
D
$x^2+2 x-8=0$

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