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

Integrate[Sqrt[-a^2 + x^2]/x, x] ==
Sqrt[-a^2 + x^2] + a*ArcTan[a/Sqrt[-a^2 + x^2]] 

                 2    2
          Sqrt[-a  + x ]
Integrate[--------------, x] == 
                x

       2    2                   a
Sqrt[-a  + x ] + a ArcTan[--------------]
                                 2    2
                          Sqrt[-a  + x ]
Time to compute: 0.03 second
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