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(x^2*(6 + x*(8 + 3*x)))/12


Integrate[x*(1 + 2*x + x^2), x] ==
(x^2*(6 + x*(8 + 3*x)))/12



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

 2
x  (6 + x (8 + 3 x))
--------------------
         12

Time to compute: < 0.01 second

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