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find-the-value-of-0-2-t-3-ln-t-2-t-4-dt-




Question Number 34278 by math khazana by abdo last updated on 03/May/18
find the value of  ∫_0 ^∞  (2  +(t+3)ln(((t+2)/(t+4))))dt .
$${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\left(\mathrm{2}\:\:+\left({t}+\mathrm{3}\right){ln}\left(\frac{{t}+\mathrm{2}}{{t}+\mathrm{4}}\right)\right){dt}\:. \\ $$

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