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

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

               1
Integrate[------------, x] == 
                    n
          x (a + b x )

                      n
n Log[x] - Log[a + b x ]
------------------------
          a n
Time to compute: 0.02 second
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