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

Integrate[1/(a*x*Sqrt[c^2 - d^2*x^2]), x] ==
(Log[c*x]/c - Log[2*(c^2 + c*Sqrt[c^2 - d^2*x^2])]/c)/ a 

                   1
Integrate[--------------------, x] == 
                    2    2  2
          a x Sqrt[c  - d  x ]

                   2           2    2  2
Log[c x]   Log[2 (c  + c Sqrt[c  - d  x ])]
-------- - --------------------------------
   c                      c
-------------------------------------------
                     a
Time to compute: 0.03 second
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