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Sqrt[c - d*x^2] + Sqrt[c]*Log[c^(3/2)*x] - Sqrt[c]*Log[2*(c + Sqrt[c]*Sqrt[c - d*x^2])]


Integrate[Sqrt[c - d*x^2]/x, x] ==
Sqrt[c - d*x^2] + Sqrt[c]*Log[c^(3/2)*x] - Sqrt[c]*Log[2*(c + Sqrt[c]*Sqrt[c - d*x^2])]



                      2
          Sqrt[c - d x ]
Integrate[--------------, x] == 
                x

            2                 3/2
Sqrt[c - d x ] + Sqrt[c] Log[c    x] - 
 
                                         2
  Sqrt[c] Log[2 (c + Sqrt[c] Sqrt[c - d x ])]

Time to compute: 0.05 second

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