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It is unclear why you believe that there is a problem with the presence of the error function in a[t]. e[t_] = E^(-t^2) Cos[t/10]; a[t_] = Integrate[e[x], {x, 0, t}]; a[t] is readily integrated p[t_, tau_] = Integrate[a[x], {x, t - tau, t}] (1/(80*E^(1/400)))* (20*(E^(1/20 - It)^2 + E^(1/20 + It)^2 - E^(1/20 + I*(t - ...

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