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

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
Sqrt[-2 + x + x^2] - Log[1 + 2*x + 2*Sqrt[-2 + x + x^2]]/2

Integrate[x/Sqrt[(-1 + x)*(2 + x)], x] ==
Sqrt[-2 + x + x^2] - Log[1 + 2*x + 2*Sqrt[-2 + x + x^2]]/2 

                    x
Integrate[----------------------, x] == 
          Sqrt[(-1 + x) (2 + x)]

                                                   2
               2    Log[1 + 2 x + 2 Sqrt[-2 + x + x ]]
Sqrt[-2 + x + x ] - ----------------------------------
                                    2
Time to compute: 0.02 second
Spread the word: