Determine whether converges

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

Problem

Determine whether ∫2∞ln⁡xx3/2 dx\displaystyle \int_{2}^{\infty} \frac{\ln x}{x^{3/2}}\,dx converges. If it converges, give its exact value.

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