Solve this following

Question:

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

$\int \frac{\mathrm{dx}}{\sqrt{1+2 \mathrm{x}-3 \mathrm{x}^{2}}}=?$

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

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

C. $\frac{1}{\sqrt{3}} \sin ^{-1}\left(\frac{2 \mathrm{x}-1}{3}\right)+\mathrm{C}$

D. none of these

Solution:

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