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((1 + (a - b)^(10/3))*x)/(a - b)^(5/3)

Integrate[(1 + (a - b)^(10/3))/(a - b)^(5/3), x] ==
((1 + (a - b)^(10/3))*x)/(a - b)^(5/3) 

                     10/3
          1 + (a - b)
Integrate[---------------, x] == 
                   5/3
            (a - b)

            10/3
(1 + (a - b)    ) x
-------------------
           5/3
    (a - b)
Time to compute: 0.02 second
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