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  4. If ∫ limits ln 2 x ( dt /√ e t -1)=(π/6), then x is equal to

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Q. If $\int\limits_{\ln 2}^{ x } \frac{ dt }{\sqrt{ e ^{ t }-1}}=\frac{\pi}{6}$, then $x$ is equal to

Integrals

Solution:

Put $e^t-1=y^2$