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


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



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

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

Time to compute: 0.06 second

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