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

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2002-12-18