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

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2002-12-18