Integrate[Sinh[b Sqrt[z] + d z + e] Sinh[c Sqrt[z] + f z + g], z] == (1/4) E^(-e - g) (-(E^(2 e + (b - c) Sqrt[z] + (d - f) z)/(d - f)) + E^(2 g - b Sqrt[z] + c Sqrt[z] - d z + f z)/(d - f) - E^((-(b + c)) Sqrt[z] - (d + f) z)/(d + f) + E^(2 e + 2 g + (b + c) Sqrt[z] + (d + f) z)/(d + f)) + (Sqrt[Pi] ((b - c)/(8 (d - f)^(3/2))) (E^((b^2 + c^2 + 4 d g - 4 f g)/(2 d - 2 f)) Erf[(b - c + 2 (d - f) Sqrt[z])/(2 Sqrt[d - f])] + E^(2 e + (b c)/(d - f)) Erfi[(b - c + 2 (d - f) Sqrt[z])/ (2 Sqrt[d - f])]))/E^((b^2 + 2 b c + c^2 + 4 (d - f) (e + g))/ (4 (d - f))) - (Sqrt[Pi] ((b + c)/(8 (d + f)^(3/2))) (E^((b + c)^2/(2 (d + f))) Erf[(b + c + 2 (d + f) Sqrt[z])/ (2 Sqrt[d + f])] + E^(2 (e + g)) Erfi[(b + c + 2 (d + f) Sqrt[z])/ (2 Sqrt[d + f])]))/E^((b^2 + 2 b c + c^2 + 4 (d + f) (e + g))/ (4 (d + f)))

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2002-12-18