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


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



                 1
Integrate[----------------, x] == 
                   2    2
          x Sqrt[-a  + x ]

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

Time to compute: 0.03 second

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