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

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

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

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