Integrate[z^2 Erf[a z] Erf[b z], z] == (1/6) (2 ((1 + a^2 z^2)/(E^(a^2 z^2) (a^3 Sqrt[Pi])) + z^3 Erf[a z]) Erf[b z] + (b (2 a^2 Sqrt[a^2 + b^2] z - (3 a^2 + 2 b^2) E^((a^2 + b^2) z^2) Sqrt[Pi] Erf[Sqrt[a^2 + b^2] z]))/ E^((a^2 + b^2) z^2)/(a^3 (a^2 + b^2)^(3/2) Pi) - (1/(b^3 Sqrt[Pi])) (2 ((-E^((-b^2) z^2)) (1 + b^2 z^2) Erf[a z] + (a Erf[Sqrt[a^2 + b^2] z])/Sqrt[a^2 + b^2] - (a b^2 z^3 (Sqrt[Pi] + (2 Sqrt[(a^2 + b^2) z^2])/E^((a^2 + b^2) z^2) - Sqrt[Pi] Erf[Sqrt[(a^2 + b^2) z^2]]))/(2 Sqrt[Pi] ((a^2 + b^2) z^2)^(3/2)))))

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2001-10-29