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Question Number 27341 by abdo imad last updated on 05/Jan/18

prove that ∫_0 ^∞  e^(−(t^2  +(1/t^2 ))) dt is convergeny  and find its value .

$${prove}\:{that}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−\left({t}^{\mathrm{2}} \:+\frac{\mathrm{1}}{{t}^{\mathrm{2}} }\right)} {dt}\:{is}\:{convergeny} \\ $$$${and}\:{find}\:{its}\:{value}\:. \\ $$

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