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-ArcTan[2/Sqrt[-4 + x^2]]/2

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

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

              2
-ArcTan[-------------]
                   2
        Sqrt[-4 + x ]
----------------------
          2
Time to compute: 0.01 second
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