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

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2002-12-18