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Question Number 136333 by Bird last updated on 20/Mar/21

calculate ∫_0 ^∞  (t^a /(1+t+t^2 ))dt  study first the convergence  (a real)

$${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{t}^{{a}} }{\mathrm{1}+{t}+{t}^{\mathrm{2}} }{dt} \\ $$$${study}\:{first}\:{the}\:{convergence} \\ $$$$\left({a}\:{real}\right) \\ $$

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