\[\int_{0}^{1}{\frac{{{\tan }^{-1}}x}{1+{{x}^{2}}}}\,dx=\] [SCRA 1987; MNR 1990]

\[\int_{0}^{1}{\frac{{{\tan }^{-1}}x}{1+{{x}^{2}}}}\,dx=\]

1.	\[\int_{0}^{1}{\frac{{{\tan }^{-1}}x}{1+{{x}^{2}}}}\,dx=\] [SCRA 1987; MNR 1990]
A.	\[\frac{{{\pi }^{2}}}{8}\]
B.	\[\frac{{{\pi }^{2}}}{16}\]
C.	\[\frac{{{\pi }^{2}}}{4}\]
D.	\[\frac{{{\pi }^{2}}}{32}\]
Answer» E.

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\[\int_{0}^{1}{\frac{{{\tan }^{-1}}x}{1+{{x}^{2}}}}\,dx=\] [SCRA 1987; MNR 1990]

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