Integrate[E^(b z^2 + d z + e) Cos[a z^2 + p z + q] Sinh[c z^2 + f z + g], z] == -((1/(8 (I a - b + c))) ((-1)^(3/4) Sqrt[a + I b - I c] E^(e - g - (I (d^2 - 2 d f + f^2 - 2 I d p + 2 I f p - p^2))/ (4 (a + I b - I c)) - I q) Sqrt[Pi] Erfi[((-1)^(1/4) (d - f - I p - 2 I a z + 2 b z - 2 c z))/ (2 Sqrt[a + I b - I c])])) - (1/(8 ((-I) a - b + c))) ((-1)^(1/4) Sqrt[a - I b + I c] E^(e - g + (I (d^2 - 2 d f + f^2 + 2 I d p - 2 I f p - p^2))/ (4 (a - I b + I c)) + I q) Sqrt[Pi] Erfi[((-1)^(3/4) (d - f + I p + 2 I a z + 2 b z - 2 c z))/ (2 Sqrt[a - I b + I c])]) + (1/(8 Sqrt[a + I b + I c])) ((-1)^(1/4) E^(e + g - (I (d^2 + 2 d f + f^2 - 2 I d p - 2 I f p - p^2))/ (4 (a + I b + I c)) - I q) Sqrt[Pi] Erfi[((-1)^(1/4) (d + f - I p - 2 I a z + 2 b z + 2 c z))/ (2 Sqrt[a + I b + I c])]) + (1/(8 Sqrt[a - I b - I c])) ((-1)^(3/4) E^(e + g + (I (d^2 + 2 d f + f^2 + 2 I d p + 2 I f p - p^2))/ (4 (a - I b - I c)) + I q) Sqrt[Pi] Erfi[((-1)^(3/4) (d + f + I p + 2 I a z + 2 b z + 2 c z))/ (2 Sqrt[a - I b - I c])])

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<apply> <plus /> <ci> a </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <ci> b </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <ci> c </ci> </apply> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

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2002-12-18