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calculate-A-n-0-dt-t-4-1-n-with-n-integr-natural-




Question Number 35062 by math khazana by abdo last updated on 14/May/18
calculate A_n  = ∫_0 ^∞      (dt/((t^4  +1)^n ))  with n integr natural .
$${calculate}\:{A}_{{n}} \:=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\frac{{dt}}{\left({t}^{\mathrm{4}} \:+\mathrm{1}\right)^{{n}} } \\ $$$${with}\:{n}\:{integr}\:{natural}\:. \\ $$

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