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

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2002-12-18