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(2*Sqrt[1 + x]*(8 + x*(-4 + 3*x)))/15

Integrate[x^2/Sqrt[1 + x], x] ==
(2*Sqrt[1 + x]*(8 + x*(-4 + 3*x)))/15 

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

2 Sqrt[1 + x] (8 + x (-4 + 3 x))
--------------------------------
               15
Time to compute: 0.01 second
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