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((-1 + x)^5*x^5)/5

Integrate[(-1 + 2*x)*(-x + x^2)^4, x] ==
((-1 + x)^5*x^5)/5 

                            2 4
Integrate[(-1 + 2 x) (-x + x ) , x] == 

        5  5
(-1 + x)  x
------------
     5
Time to compute: < 0.01 second
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