Solve this following

Question:

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

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

A. $\frac{1}{\sqrt{23}} \tan ^{-1}\left(\frac{4 \mathrm{x}+1}{\sqrt{23}}\right)+\mathrm{C}$

B. $\frac{1}{\sqrt{23}} \tan ^{-1}\left(\frac{\mathrm{x}+1}{\sqrt{23}}\right)+\mathrm{C}$

C. $\frac{2}{\sqrt{23}} \tan ^{-1}\left(\frac{4 \mathrm{x}+1}{\sqrt{23}}\right)+\mathrm{C}$

D. none of these

Solution:

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