Solve this following

Question:

Mark $(\sqrt{)}$ against the correct answer in each of the following:

$\int \frac{\mathrm{dx}}{\left(4 \mathrm{x}^{2}-4 \mathrm{x}+3\right)}=?$

A. $\frac{1}{\sqrt{2}} \tan ^{-1}\left(\frac{2 \mathrm{x}-1}{\sqrt{2}}\right)+\mathrm{C}$

B. $\frac{1}{2 \sqrt{2}} \tan ^{-1}\left(\frac{2 \mathrm{x}-1}{\sqrt{2}}\right)+\mathrm{C}$

C. $-\frac{1}{\sqrt{2}} \tan ^{-1}\left(\frac{2 \mathrm{x}-1}{\sqrt{2}}\right)+\mathrm{C}$

D. none of these

Solution:

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