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

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2002-12-18