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

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

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

(Sqrt[-(x (-2 a + x))] 
 
    (Sqrt[2 a - x] Sqrt[x] (-a + x) + 
 
         2           Sqrt[x]
      2 a  ArcTan[-------------])) / 
                  Sqrt[2 a - x]
 
  (2 Sqrt[2 a - x] Sqrt[x])
Time to compute: 0.13 second
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