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

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

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

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