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- For example, a program in Mathematica:
series = tau - tau^2/6 + tau^3/36 + tau^4*a + tau^5*b;
Series[tau^2/2 + 1 + t - Exp[t] /. t -> series, {tau, 0, 8}]
integral = Integrate[Exp[-x*tau^2/2] * D[series /. a -> 0 /. b -> 0, tau], {tau, -Infinity, Infinity}];
Simplify[integral/Sqrt[2*Pi]*Sqrt[x]] (en)
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