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

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

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

       2    2
Sqrt[-a  + x ]
--------------
    2
   a  - a x
Time to compute: 0.04 second
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