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

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2002-12-18