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(c + a*x^2)^(5/2)/(5*a)

Integrate[x*(c + a*x^2)^(3/2), x] ==
(c + a*x^2)^(5/2)/(5*a) 

                    2 3/2
Integrate[x (c + a x )   , x] == 

        2 5/2
(c + a x )
-------------
     5 a
Time to compute: 0.01 second
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