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


Integrate[1/(-8 + x^2), x] ==
(Log[2*Sqrt[2] - x] - Log[2*Sqrt[2] + x])/(4*Sqrt[2])



             1
Integrate[-------, x] == 
                2
          -8 + x

Log[2 Sqrt[2] - x] - Log[2 Sqrt[2] + x]
---------------------------------------
               4 Sqrt[2]

Time to compute: 0.04 second

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