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find-the-value-of-0-1-cos-xt-t-2-e-t-dt-




Question Number 28539 by abdo imad last updated on 26/Jan/18
find the value of  ∫_0 ^∞   ((1−cos(xt))/t^2 ) e^(−t) dt .
$${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{1}−{cos}\left({xt}\right)}{{t}^{\mathrm{2}} }\:{e}^{−{t}} {dt}\:. \\ $$

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