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

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/> <apply> <plus /> <ci> c </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <ci> b </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> c </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <ci> b </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