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-Log[1 - x^3]/3

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

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

          3
-Log[1 - x ]
------------
     3
Time to compute: < 0.01 second
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