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ExpIntegralEi[1 + Log[x]]/E

Integrate[1/(1 + Log[x]), x] ==
ExpIntegralEi[1 + Log[x]]/E 

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

ExpIntegralEi[1 + Log[x]]
-------------------------
            E
Time to compute: 0.01 second
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