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

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2002-12-18