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*Sqrt[3]*(a + b)*ArcTan[(-1 + 2*x)/Sqrt[3]] + 2*(a - b)*Log[1 + x] + (-a + b)*Log[1 - x + x^2] + 2*c*Log[1 + x^3])/6

Integrate[(a + b*x + c*x^2)/(1 + x^3), x] ==
(2*Sqrt[3]*(a + b)*ArcTan[(-1 + 2*x)/Sqrt[3]] + 2*(a - b)*Log[1 + x] + (-a + b)*Log[1 - x + x^2] + 2*c*Log[1 + x^3])/6 

                       2
          a + b x + c x
Integrate[--------------, x] == 
                   3
              1 + x

                          -1 + 2 x
(2 Sqrt[3] (a + b) ArcTan[--------] + 
                          Sqrt[3]
 
                                                 2
    2 (a - b) Log[1 + x] + (-a + b) Log[1 - x + x ] + 
 
                 3
    2 c Log[1 + x ]) / 6
Time to compute: 0.08 second
Spread the word: