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