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(x^2*(20 - 16*x^3 + 5*x^6))/40

Integrate[x*(1 - x^3)^2, x] ==
(x^2*(20 - 16*x^3 + 5*x^6))/40 

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

 2           3      6
x  (20 - 16 x  + 5 x )
----------------------
          40
Time to compute: < 0.01 second
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