Integrate[E^(b Sqrt[z] + d z + e) Cos[a Sqrt[z] + p z + q] Cosh[c Sqrt[z] + f z + g], z] == (1/8) E^(e - g - I q) (2 (E^(((-I) a + b - c) Sqrt[z] + (d - f - I p) z)/(d - f - I p) + E^(2 g + ((-I) a + b + c) Sqrt[z] + (d + f - I p) z)/(d + f - I p) + E^(2 I q + (I a + b - c) Sqrt[z] + (d - f + I p) z)/(d - f + I p) + 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) E^((a + I (b - c))^2/(4 (d - f - I p))) 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) - (((-I) a + b + c) E^(2 g + (a + I (b + c))^2/(4 (d + f - I p))) 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) - ((I a + b - c) E^(-((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) - ((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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</apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <apply> <plus /> <ci> d </ci> <ci> f </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <ci> p </ci> </apply> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <power /> <apply> <plus /> <ci> d </ci> <ci> f </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <ci> p </ci> </apply> </apply> </apply> <cn type='rational'> 3 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

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2002-12-18