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let-f-t-0-1-sinx-1-te-x-2-dx-with-t-lt-1-developp-f-at-integr-serie-




Question Number 66061 by mathmax by abdo last updated on 08/Aug/19
let f(t) =∫_0 ^1    ((sinx)/(1+te^(−x^2 ) ))dx    with ∣t∣<1  developp f at integr serie .
$${let}\:{f}\left({t}\right)\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{sinx}}{\mathrm{1}+{te}^{−{x}^{\mathrm{2}} } }{dx}\:\:\:\:{with}\:\mid{t}\mid<\mathrm{1} \\ $$$${developp}\:{f}\:{at}\:{integr}\:{serie}\:. \\ $$

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