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(3*(c + a*x^2)^(10/3))/(20*a)

Integrate[x*(c + a*x^2)^(7/3), x] ==
(3*(c + a*x^2)^(10/3))/(20*a) 

                    2 7/3
Integrate[x (c + a x )   , x] == 

          2 10/3
3 (c + a x )
----------------
      20 a
Time to compute: 0.02 second
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