Determine whether the improper integral converges

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Determine whether the improper integral ∫0∞ln⁡x1+x2 dx\displaystyle \int_{0}^{\infty} \frac{\ln x}{1+x^{2}}\,dx converges. If it converges, state its exact value.

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