Solve this following

Question:

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

$\int \frac{\mathrm{dx}}{\sqrt{2 \mathrm{x}^{2}+4 \mathrm{x}+6}}=?$

A. $\frac{1}{2} \log \left|(x+1)+\sqrt{x^{2}+2 x+3}\right|+C$

B. $\frac{1}{\sqrt{2}} \log \left|(x+1)+\sqrt{x^{2}+2 x+3}\right|+C$

C. $\frac{1}{\sqrt{2}} \log \left|\mathrm{x}+\sqrt{\mathrm{x}^{2}+2 \mathrm{x}+3}\right|+\mathrm{C}$

D. none of these

Solution:

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