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let-f-x-e-nx-ln-2-x-2-with-n-integr-natural-1-calculste-f-n-x-and-f-n-0-2-developp-f-at-integr-serie-3-find-0-1-f-x-d-and-0-f-x-dx-

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Question Number 84029 by mathmax by abdo last updated on 08/Mar/20
let f(x)=e^(−nx) ln(2+x^2 ) with n integr natural 1) calculste f^((n)) (x) and f^((n)) (0) 2) developp f at integr serie 3)find ∫_0 ^1 f(x)d and ∫_0 ^∞ f(x)dx
letf(x)=e−nxln(2+x2)withnintegrnatural1)calculstef(n)(x)andf(n)(0)2)developpfatintegrserie3)find∫01f(x)dand∫0∞f(x)dx

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