Integrate[ArcTan[a z^2 + b z + c], z] == (1/(2 a)) ((b + 2 a z) ArcTan[c + z (b + a z)] - I ArcTan[(b + 2 a z)/Sqrt[4 a (c - I) - b^2]] Sqrt[4 a (c - I) - b^2] + I ArcTan[(b + 2 a z)/Sqrt[4 a (c + I) - b^2]] Sqrt[4 a (c + I) - b^2])

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2001-10-29