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-Log[c^4 - x^4]/4

Integrate[x^3/(c^4 - x^4), x] ==
-Log[c^4 - x^4]/4 

             3
            x
Integrate[-------, x] == 
           4    4
          c  - x

      4    4
-Log[c  - x ]
-------------
      4
Time to compute: < 0.01 second
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