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(c^3/(c^3 + x^3) + 3*Log[x] - Log[c^3 + x^3])/(3*c^6)


Integrate[1/(x*(c^3 + x^3)^2), x] ==
(c^3/(c^3 + x^3) + 3*Log[x] - Log[c^3 + x^3])/(3*c^6)



               1
Integrate[------------, x] == 
              3    3 2
          x (c  + x )

   3
  c                       3    3
------- + 3 Log[x] - Log[c  + x ]
 3    3
c  + x
---------------------------------
                 6
              3 c

Time to compute: 0.03 second

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