\[\int_{\,0}^{\,\infty }{\,\log \left( x+\frac{1}{x} \right)\frac{dx}{1+{{x}^{2}}}}\] is equal to [RPET 2000, 02]

\[\int_{\,0}^{\,\infty }{\,\log \left( x+\frac{1}{x} \right)\frac{dx}{

1.	\[\int_{\,0}^{\,\infty }{\,\log \left( x+\frac{1}{x} \right)\frac{dx}{1+{{x}^{2}}}}\] is equal to [RPET 2000, 02]
A.	\[\pi \log 2\]
B.	\[-\pi \log 2\]
C.	\[(\pi /2)\log 2\]
D.	\[-(\pi /2)\log 2\]
Answer» B. \[-\pi \log 2\]

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\[\int_{\,0}^{\,\infty }{\,\log \left( x+\frac{1}{x} \right)\frac{dx}{1+{{x}^{2}}}}\] is equal to [RPET 2000, 02]

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