Integrate[E^(p z) Sin[b Sqrt[z]]^m Sinh[c Sqrt[z]], z] == 2^(-2 - m) Binomial[m, m/2] (1 - Mod[m, 2]) (-((c Sqrt[Pi] Erfi[(-c + 2 p Sqrt[z])/(2 Sqrt[p])])/ (E^(c^2/(4 p)) p^(3/2))) - (c Sqrt[Pi] Erfi[(c + 2 p Sqrt[z])/(2 Sqrt[p])])/ (E^(c^2/(4 p)) p^(3/2)) + (4 E^(p z) Sinh[c Sqrt[z]])/p) + 2^(-2 - m) Sum[(-1)^s Binomial[m, s] ((8 E^(p z) Cos[(m Pi)/2 - b (m - 2 s) Sqrt[z]] Sinh[c Sqrt[z]])/p + ((1/p^(3/2)) Sqrt[Pi] ((((-I) c + b (m - 2 s)) Erf[((-I) c + b (m - 2 s) - 2 I p Sqrt[z])/(2 Sqrt[p])])/ E^((c + I b (m - 2 s))^2/(4 p)) + ((-1)^m (I c - b m + 2 b s) Erf[((-I) c + b (m - 2 s) + 2 I p Sqrt[z])/(2 Sqrt[p])])/ E^((c + I b (m - 2 s))^2/(4 p)) - (-1)^m E^((I c + b (m - 2 s))^2/(4 p)) (c - I b (m - 2 s)) Erfi[(c - I b (m - 2 s) + 2 p Sqrt[z])/(2 Sqrt[p])] - E^((I c + b (m - 2 s))^2/(4 p)) (c - I b (m - 2 s)) Erfi[(-c + I b (m - 2 s) + 2 p Sqrt[z])/(2 Sqrt[p])]))/I^m), {s, 0, Floor[(1/2) (-1 + m)]}] /; Element[m, Integers] && m > 0

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type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <exponentiale /> <apply> <times /> <apply> <power /> <apply> <plus /> <apply> <times /> <imaginaryi /> <ci> c </ci> </apply> <apply> <times /> <ci> b </ci> <apply> <plus /> <ci> m </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 2 </cn> <ci> s </ci> </apply> </apply> </apply> </apply> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 4 </cn> <ci> p </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <plus /> <ci> c </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <ci> b </ci> <apply> <plus /> <ci> m </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 2 </cn> <ci> s </ci> </apply> </apply> </apply> </apply> </apply> </apply> <apply> <ci> Erfi </ci> <apply> <times /> <apply> <plus /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> 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2002-12-18