Correct evaluation of \[\int_{{}}^{{}}{\frac{x}{(x-2)(x-1)}\ dx}\] is [MP PET 1993]

\[{{\log }_{e}}\frac{(x-1)}{(x-2)}+p\]

\[{{\log }_{e}}\frac{{{(x-2)}^{2}}}{(x-1)}+p\]

\[2{{\log }_{e}}\left( \frac{x-2}{x-1} \right)+p\] (where p is an arbitrary constant)

Correct evaluation of \[\int_{{}}^{{}}{\frac{x}{(x-2)(x-1)}\ dx}\] is

1.	Correct evaluation of \[\int_{{}}^{{}}{\frac{x}{(x-2)(x-1)}\ dx}\] is [MP PET 1993]
A.	\[{{\log }_{e}}\frac{{{(x-2)}^{2}}}{(x-1)}+p\]
B.	\[{{\log }_{e}}\frac{(x-1)}{(x-2)}+p\]
C.	\[\frac{x-1}{x-2}+p\]
D.	\[2{{\log }_{e}}\left( \frac{x-2}{x-1} \right)+p\] (where p is an arbitrary constant)
Answer» B. \[{{\log }_{e}}\frac{(x-1)}{(x-2)}+p\]

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Correct evaluation of \[\int_{{}}^{{}}{\frac{x}{(x-2)(x-1)}\ dx}\] is [MP PET 1993]

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