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


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



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

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

Time to compute: 0.01 second

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