JEE Math Practice Question
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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