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

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

                    2 -3/2
Integrate[(2 a x - x )    , x] == 

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