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

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

                2
          Log[x]
Integrate[-------, x] == 
             2
            x

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