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a*(-(Sqrt[b - c*x^2]/x) - Sqrt[c]*ArcTan[(Sqrt[c]*x)/Sqrt[b - c*x^2]])

Integrate[(a*Sqrt[b - c*x^2])/x^2, x] ==
a*(-(Sqrt[b - c*x^2]/x) - Sqrt[c]*ArcTan[(Sqrt[c]*x)/Sqrt[b - c*x^2]]) 

                        2
          a Sqrt[b - c x ]
Integrate[----------------, x] == 
                  2
                 x

                 2
     Sqrt[b - c x ]                     Sqrt[c] x
a (-(--------------) - Sqrt[c] ArcTan[--------------])
           x                                      2
                                      Sqrt[b - c x ]
Time to compute: 0.05 second
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