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(Sqrt[-((-6 + x)*x)]*(Sqrt[-6 + x]*(-3 + x)*Sqrt[x] - 18*Log[2*(Sqrt[-6 + x] + Sqrt[x])]))/(2*Sqrt[-6 + x]*Sqrt[x])

Integrate[Sqrt[6*x - x^2], x] ==
(Sqrt[-((-6 + x)*x)]*(Sqrt[-6 + x]*(-3 + x)*Sqrt[x] - 18*Log[2*(Sqrt[-6 + x] + Sqrt[x])]))/ (2*Sqrt[-6 + x]*Sqrt[x]) 

                      2
Integrate[Sqrt[6 x - x ], x] == 

(Sqrt[-((-6 + x) x)] (Sqrt[-6 + x] (-3 + x) Sqrt[x] - 
 
      18 Log[2 (Sqrt[-6 + x] + Sqrt[x])])) / 
 
  (2 Sqrt[-6 + x] Sqrt[x])
Time to compute: 0.07 second
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