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(-2*(1 - x)^(3/2)*(8 + 3*x*(4 + 5*x)))/105

Integrate[Sqrt[1 - x]*x^2, x] ==
(-2*(1 - x)^(3/2)*(8 + 3*x*(4 + 5*x)))/105 

                       2
Integrate[Sqrt[1 - x] x , x] == 

          3/2
-2 (1 - x)    (8 + 3 x (4 + 5 x))
---------------------------------
               105
Time to compute: 0.02 second
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