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


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



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

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

Time to compute: 0.04 second

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