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calculate-f-a-0-e-x-2-a-x-2-dx-with-a-gt-0-




Question Number 69784 by mathmax by abdo last updated on 27/Sep/19
calculate f(a) =∫_0 ^∞   e^(−(x^2  +(a/x^2 ))) dx  with a>0
$${calculate}\:{f}\left({a}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−\left({x}^{\mathrm{2}} \:+\frac{{a}}{{x}^{\mathrm{2}} }\right)} {dx}\:\:{with}\:{a}>\mathrm{0} \\ $$

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