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Question Number 163484 by SANOGO last updated on 07/Jan/22

pour tout couple (a,b)εR^2 ,prouver que  ∫_0 ^1 t^p (lnt)^q dt converge puis calculer

$${pour}\:{tout}\:{couple}\:\left({a},{b}\right)\epsilon{R}^{\mathrm{2}} ,{prouver}\:{que} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} {t}^{{p}} \left({lnt}\right)^{{q}} {dt}\:{converge}\:{puis}\:{calculer} \\ $$

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