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

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2002-12-18