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(2*Sqrt[a + b*x]*(8*a^3 - 4*a^2*b*x + 3*a*b^2*x^2 + 15*b^3*x^3))/(105*b^3)


Integrate[x^2*Sqrt[a + b*x], x] ==
(2*Sqrt[a + b*x]*(8*a^3 - 4*a^2*b*x + 3*a*b^2*x^2 + 15*b^3*x^3))/(105*b^3)



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

                     3      2            2  2
(2 Sqrt[a + b x] (8 a  - 4 a  b x + 3 a b  x  + 
 
          3  3           3
      15 b  x )) / (105 b )

Time to compute: 0.03 second

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