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(3*x + Log[5 - 5*x] - 4*Log[5*(2 + x)])/3

Integrate[x^2/((-1 + x)*(2 + x)), x] ==
(3*x + Log[5 - 5*x] - 4*Log[5*(2 + x)])/3 

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

3 x + Log[5 - 5 x] - 4 Log[5 (2 + x)]
-------------------------------------
                  3
Time to compute: < 0.01 second
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