\[\int_{a}^{b}{\frac{\log x}{x}\,dx=}\] [MP PET 1994]

\[\frac{1}{2}\log (a\,b)\log \,\left( \frac{a}{b} \right)\]

\[\log \left( \frac{\log b}{\log a} \right)\]

\[\log (a\,b)\log \,\left( \frac{b}{a} \right)\]

\[\frac{1}{2}\log (a\,b)\log \,\left( \frac{b}{a} \right)\]

\[\int_{a}^{b}{\frac{\log x}{x}\,dx=}\] �

1.	\[\int_{a}^{b}{\frac{\log x}{x}\,dx=}\] [MP PET 1994]
A.	\[\log \left( \frac{\log b}{\log a} \right)\]
B.	\[\log (a\,b)\log \,\left( \frac{b}{a} \right)\]
C.	\[\frac{1}{2}\log (a\,b)\log \,\left( \frac{b}{a} \right)\]
D.	\[\frac{1}{2}\log (a\,b)\log \,\left( \frac{a}{b} \right)\]
Answer» D. \[\frac{1}{2}\log (a\,b)\log \,\left( \frac{a}{b} \right)\]

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\[\int_{a}^{b}{\frac{\log x}{x}\,dx=}\] [MP PET 1994]

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