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(x^3*(3 - 3*x^3 + x^6))/9


Integrate[x^2*(1 - x^3)^2, x] ==
(x^3*(3 - 3*x^3 + x^6))/9



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

 3         3    6
x  (3 - 3 x  + x )
------------------
        9

Time to compute: < 0.01 second

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