\( \int \frac{x}{\left(x^{2}-3 x+2\right) \sqrt{x^{2}-4 x+3}} d x \) is equal to....

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\( \int \frac{x}{\left(x^{2}-3 x+2\right) \sqrt{x^{2}-4 x+3}} d x \) is equal to
\( \mathrm{P} \)
(1) \( -2 \operatorname{Sin}^{-1} \frac{1}{x-2}+\frac{\sqrt{x^{2}-4 x+3}}{x-1}+c \)
(2) \( 2 \operatorname{Sin}^{-1} \frac{1}{x-2}+\frac{\sqrt{x^{2}-4 x+3}}{x-1}+c \)
(3) \( -2 \operatorname{Sin}^{-1} \frac{1}{x-2}-\frac{\sqrt{x^{2}-4 x+3}}{x-1}+c \)
(4) \( 2 \operatorname{Sin}^{-1} \frac{1}{x-2}-\frac{\sqrt{x^{2}-4 x+3}}{x-1}+c \)


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