JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

Let

\int\limits_ \alpha^{\log _e 4} \frac{{dx}}{\sqrt{{e}^{{x}}-1}}=\frac{\pi}{6}.

Then

{e}^\alpha

and

{e}^{-\alpha}

are the roots of the equation:

View answer and explanation

Correct option: A

2 x^2-5 x+2=0

Option A (

2 x^2-5 x+2=0

) is correct because

{e}^\alpha

and

{e}^{-\alpha}

are the roots of this equation, derived from the given integral.

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