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(Sqrt[-a + x]*Sqrt[-b + x]*(-a - b + 2*x) - (a - b)^2*Log[2*(Sqrt[-a + x] + Sqrt[-b + x])])/4

Integrate[Sqrt[-a + x]*Sqrt[-b + x], x] ==
(Sqrt[-a + x]*Sqrt[-b + x]*(-a - b + 2*x) - (a - b)^2*Log[2*(Sqrt[-a + x] + Sqrt[-b + x])])/4 

Integrate[Sqrt[-a + x] Sqrt[-b + x], x] == 

(Sqrt[-a + x] Sqrt[-b + x] (-a - b + 2 x) - 
 
           2
    (a - b)  Log[2 (Sqrt[-a + x] + Sqrt[-b + x])]) / 4
Time to compute: 0.08 second
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