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


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



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

                     2              2  2
2 Sqrt[a + b x] (-2 a  + a b x + 3 b  x )
-----------------------------------------
                      2
                  15 b

Time to compute: 0.03 second

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