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-Log[c^3 - x^3]/3

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

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

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