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-2*Log[-1 + Sqrt[x]]

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

                    1
Integrate[---------------------, x] == 
          (1 - Sqrt[x]) Sqrt[x]

-2 Log[-1 + Sqrt[x]]
Time to compute: < 0.01 second
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