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-(((a + b*x)^(1 - n)*(2*a^2 + 2*a*b*(-1 + n)*x + b^2*(2 - 3*n + n^2)*x^2))/(b^3*(-3 + n)*(-2 + n)*(-1 + n)))


Integrate[x^2/(a + b*x)^n, x] ==
-(((a + b*x)^(1 - n)*(2*a^2 + 2*a*b*(-1 + n)*x + b^2*(2 - 3*n + n^2)*x^2))/(b^3*(-3 + n)*(-2 + n)* (-1 + n)))



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

            1 - n     2
-(((a + b x)      (2 a  + 2 a b (-1 + n) x + 
 
         2             2   2
        b  (2 - 3 n + n ) x )) / 
 
      3
    (b  (-3 + n) (-2 + n) (-1 + n)))

Time to compute: 0.06 second

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