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-ArcTan[Sqrt[2]/Sqrt[-2 + x^2]]/2

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

                  1
Integrate[-----------------, x] == 
                         2
          x Sqrt[-4 + 2 x ]

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