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-(Sqrt[-b + a*x^2]/x) + Sqrt[a]*Log[2*(a*x + Sqrt[a]*Sqrt[-b + a*x^2])]


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



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

               2
  Sqrt[-b + a x ]
-(---------------) + Sqrt[a] 
         x
 
                                     2
   Log[2 (a x + Sqrt[a] Sqrt[-b + a x ])]

Time to compute: 0.06 second

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