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x - 2*Sqrt[2]*ArcTanh[x/(2*Sqrt[2])]

Integrate[x^2/(-8 + x^2), x] ==
x - 2*Sqrt[2]*ArcTanh[x/(2*Sqrt[2])] 

             2
            x
Integrate[-------, x] == 
                2
          -8 + x

                          x
x - 2 Sqrt[2] ArcTanh[---------]
                      2 Sqrt[2]
Time to compute: 0.02 second
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