integrals.wolfram.com   Use one of Mathematica's 2500+ functions FREE online

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
(2*ArcTan[(b + 2*a*x)/Sqrt[-b^2 + 4*a*c]])/Sqrt[-b^2 + 4*a*c]

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

                1
Integrate[--------------, x] == 
                       2
          c + b x + a x

             b + 2 a x
2 ArcTan[-----------------]
                2
         Sqrt[-b  + 4 a c]
---------------------------
            2
     Sqrt[-b  + 4 a c]
Time to compute: 0.03 second
Spread the word: