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Question Number 141775 by mathmax by abdo last updated on 23/May/21
find ∫_0 ^∞  (e^(−x^2 ) /((x^2  +3)^2 ))dx
$$\mathrm{find}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{e}^{−\mathrm{x}^{\mathrm{2}} } }{\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{3}\right)^{\mathrm{2}} }\mathrm{dx} \\ $$
Answered by qaz last updated on 23/May/21
i tried use ∫_0 ^∞ x^a e^(−bx^c ) dx=((Γ(((a+1)/c)))/(c∙b^((a+1)/c) ))  unfortunately ......
$${i}\:{tried}\:{use}\:\int_{\mathrm{0}} ^{\infty} {x}^{{a}} {e}^{−{bx}^{{c}} } {dx}=\frac{\Gamma\left(\frac{{a}+\mathrm{1}}{{c}}\right)}{{c}\centerdot{b}^{\frac{{a}+\mathrm{1}}{{c}}} } \\ $$$${unfortunately}\:…… \\ $$

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