Determine the exact value of the improper integral .

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

Problem

Determine the exact value of the improper integral ∫1∞ln⁡xx2 dx\displaystyle \int_{1}^{\infty} \frac{\ln x}{x^{2}}\,dx.

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