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Mathematics
Mathematics
Problem
Determine whether the improper integral
∫
0
∞
ln
x
1
+
x
2
d
x
\displaystyle \int_{0}^{\infty} \frac{\ln x}{1+x^{2}}\,dx
∫
0
∞
1
+
x
2
ln
x
d
x
converges. If it converges, state its exact value.
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