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

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2002-12-18