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


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



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

        2 3/2
(b + a x )
-------------
     3 a

Time to compute: 0.01 second

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