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

Integrate[Log[x^2]/x^3, x] ==
-(1 + Log[x^2])/(2*x^2) 

               2
          Log[x ]
Integrate[-------, x] == 
             3
            x

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