Prove the following

Question:

If $I=\int_{1}^{2} \frac{d x}{\sqrt{2 x^{3}-9 x^{2}+12 x+4}}$, then :

  1. $\frac{1}{9}<\mathrm{I}^{2}<\frac{1}{8}$

  2. $\frac{1}{16}<\mathrm{I}^{2}<\frac{1}{9}$

  3. $\frac{1}{6}<\mathrm{I}^{2}<\frac{1}{2}$

  4. $\frac{1}{8}<\mathrm{I}^{2}<\frac{1}{4}$


Correct Option: 1

Solution:

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