study-the-convergence-of-A-0-ln-t-arctant-t-dt-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 30413 by abdo imad last updated on 22/Feb/18

study the convergence of A(α)= ∫_0 ^∞ ((ln(t) arctant)/t^α )dt

$${study}\:{the}\:{convergence}\:{of}\:\:{A}\left(\alpha\right)=\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{ln}\left({t}\right)\:{arctant}}{{t}^{\alpha} }{dt} \\ $$

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