\( \int \frac{d x}{\sqrt{x^{2}-2 x+3}}= \) \( \mathrm{P}^{1: 1:} \)...

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\( \int \frac{d x}{\sqrt{x^{2}-2 x+3}}= \)
\( \mathrm{P}^{1: 1:} \)
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(1) \( \log \left|x-1-\sqrt{x^{2}-2 x+3}\right|+c \)
(2) \( -\log \left|x-1+\sqrt{x^{2}-2 x+3}\right|+c \)
(3) \( \log \left|x-1+\sqrt{x^{2}-2 x+3}\right|+c \)
(4) \( \log \left|x+1+\sqrt{x^{2}-2 x+3}\right|+c \)
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