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(2*Sqrt[a + b*x]*(8*a^2 - 4*a*b*x + 3*b^2*x^2))/(15*b^3)

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

                2
               x
Integrate[-------------, x] == 
          Sqrt[a + b x]

                    2                2  2
2 Sqrt[a + b x] (8 a  - 4 a b x + 3 b  x )
------------------------------------------
                      3
                  15 b
Time to compute: 0.03 second
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