Integrate[z^2 E^(b z) Sinh[c z] Erfc[a z], z] == (E^(b z)/(b^2 - c^2)^3) ((-c) (-4 b^3 z + 4 b c^2 z + b^4 z^2 + b^2 (6 - 2 c^2 z^2) + c^2 (2 + c^2 z^2)) Cosh[c z] + (-2 b^4 z + 2 c^4 z + b^5 z^2 + b^3 (2 - 2 c^2 z^2) + b c^2 (6 + c^2 z^2)) Sinh[c z]) - ((1/(8 a^4 Sqrt[Pi])) ((1/(b + c)^3) (2 a (b + c) E^((b + c) z) ((b + c)^2 + 2 a^2 (-2 + b z + c z)) + 4 a^4 E^(z (b + c + a^2 z)) Sqrt[Pi] (2 - 2 (b + c) z + (b + c)^2 z^2) Erf[a z] + (8 a^4 - 2 a^2 (b + c)^2 + (b + c)^4) E^((b + c)^2/(4 a^2) + a^2 z^2) Sqrt[Pi] Erf[(b + c)/(2 a) - a z]) - (1/(b - c)^3) (2 a (b - c) E^((b - c) z) ((b - c)^2 + 2 a^2 (-2 + b z - c z)) + 4 a^4 E^(z (b - c + a^2 z)) Sqrt[Pi] (2 - 2 (b - c) z + (b - c)^2 z^2) Erf[a z] + (8 a^4 - 2 a^2 (b - c)^2 + (b - c)^4) E^((b - c)^2/(4 a^2) + a^2 z^2) Sqrt[Pi] Erf[(b - c)/(2 a) - a z])))/ E^(a^2 z^2)

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2001-10-29