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(2*((-1 + x)^(3/2) + x^(3/2)))/3

Integrate[1/(-Sqrt[-1 + x] + Sqrt[x]), x] ==
(2*((-1 + x)^(3/2) + x^(3/2)))/3 

                     1
Integrate[-----------------------, x] == 
          -Sqrt[-1 + x] + Sqrt[x]

           3/2    3/2
2 ((-1 + x)    + x   )
----------------------
          3
Time to compute: 0.03 second
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