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Question Number 73490 by abdomathmax last updated on 13/Nov/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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