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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: 0.03 second

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