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integrate 1/(Ax^2-Bx+C)

Indefinite integral

integral1/(A x^2 - B x + C) dx = (2 tan^(-1)((2 A x - B)/sqrt(4 A C - B^2)))/sqrt(4 A C - B^2) + constant

Series expansion of the integral at x=0

-(2 tan^(-1)(B/sqrt(4 A C - B^2)))/sqrt(4 A C - B^2) + x/C + (B x^2)/(2 C^2) + (x^3 (B^2 - A C))/(3 C^3) + (x^4 (B^3 - 2 A B C))/(4 C^4) + O(x^5)
(Taylor series)