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find-0-e-x-a-x-2-dx-with-a-0-




Question Number 31103 by abdo imad last updated on 02/Mar/18
find ∫_0 ^∞  e^(−(x −(a/x))^2 ) dx  with  a≥0 .
$${find}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−\left({x}\:−\frac{{a}}{{x}}\right)^{\mathrm{2}} } {dx}\:\:{with}\:\:{a}\geqslant\mathrm{0}\:. \\ $$

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