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find-the-value-of-0-cos-t-1-t-4-dt-




Question Number 29001 by abdo imad last updated on 03/Feb/18
find the value of  ∫_0 ^∞    ((cos(ξt))/(1+t^4 ))dt.
$${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{cos}\left(\xi{t}\right)}{\mathrm{1}+{t}^{\mathrm{4}} }{dt}. \\ $$

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