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(583 + 440*x + 8*(8 + 5*x)^2*Log[2*(8 + 5*x)])/(250*(8 + 5*x)^2)

Integrate[(2*x + 1)^2/(5*x + 8)^3, x] ==
(583 + 440*x + 8*(8 + 5*x)^2*Log[2*(8 + 5*x)])/ (250*(8 + 5*x)^2) 

                   2
          (2 x + 1)
Integrate[----------, x] == 
                   3
          (5 x + 8)

                         2
583 + 440 x + 8 (8 + 5 x)  Log[2 (8 + 5 x)]
-------------------------------------------
                           2
              250 (8 + 5 x)
Time to compute: 0.03 second
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