(Step-by-Step) Determine whether the improper integral diverges or converges. Evaluate the integral if it converges. ∫_0^∞


Question: Determine whether the improper integral diverges or converges. Evaluate the integral if it converges.

\(\int\limits_{0}^{\infty }{\frac{{{x}^{3}}}{{{\left( {{x}^{2}}+1 \right)}^{2}}}dx}\)

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