JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Value of

x

satisfying

\int\limits_{{\log 2}}^x \frac{d x}{\sqrt{e^x-1}}=\frac{\pi}{6}

View answer and explanation

Correct option: C

2 \log 2

Option C (

2 \log 2

) is correct because solving the integral equation

\int_{\log 2}^x \frac{{dx}}{{\sqrt{{e^x-1}}}} = \frac{{\pi}}{{6}}

leads to

x = \log 4 = 2 \log 2

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[*]

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