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

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

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

(Log[Sqrt[2] x] - Log[4 + x + 
 
                              2
      2 Sqrt[2] Sqrt[2 + x + x ]]) / Sqrt[2]
Time to compute: 0.03 second
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