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-a^2/(2*b^3*(a + b*x)^2) + (2*a)/(b^3*(a + b*x)) + Log[a + b*x]/b^3

Integrate[x^2/(a + b*x)^3, x] ==
-a^2/(2*b^3*(a + b*x)^2) + (2*a)/(b^3*(a + b*x)) + Log[a + b*x]/b^3 

               2
              x
Integrate[----------, x] == 
                   3
          (a + b x)

        2
      -a              2 a        Log[a + b x]
--------------- + ------------ + ------------
   3          2    3                   3
2 b  (a + b x)    b  (a + b x)        b
Time to compute: 0.03 second
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