The value of \(\int \frac{1}{2 x^2+x-3} d x\) is:

1
\(\log \left(\frac{x-1}{2 x+3}\right)+c\)
2
\(\log \left(\frac{2 x+3}{x-1}\right)+c\)
3
\(\frac{1}{5} \log \left(\frac{x-1}{2 x+3}\right)+c \)
4
\(\frac{1}{5} \log \left(\frac{2 x+3}{x-1}\right)+c \)

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