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1-find-I-p-q-0-1-t-p-1-t-q-dt-with-pand-q-integrs-2-find-the-nature-of-I-n-n-




Question Number 31974 by abdo imad last updated on 17/Mar/18
1)find I(p,q) = ∫_0 ^1   t^p  (1−t)^q  dt  with pand q integrs  2) find the nature of Σ  I_((n,n))
$$\left.\mathrm{1}\right){find}\:{I}\left({p},{q}\right)\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:{t}^{{p}} \:\left(\mathrm{1}−{t}\right)^{{q}} \:{dt}\:\:{with}\:{pand}\:{q}\:{integrs} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{nature}\:{of}\:\Sigma\:\:{I}_{\left({n},{n}\right)} \\ $$

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