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