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

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

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

                          3/2
-2 (2 a - 3 b x) (a + b x)
-----------------------------
                2
            15 b
Time to compute: 0.02 second
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