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find-the-value-of-0-e-t-2-1-t-2-dt-study-first-the-convergence-




Question Number 62813 by mathmax by abdo last updated on 25/Jun/19
find the value of ∫_0 ^∞  e^(−(t^2  +(1/t^2 ))) dt  study first the convergence .
$${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−\left({t}^{\mathrm{2}} \:+\frac{\mathrm{1}}{{t}^{\mathrm{2}} }\right)} {dt} \\ $$$${study}\:{first}\:{the}\:{convergence}\:. \\ $$

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