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

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

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

      -1
--------------
             2
2 b (a + b x)
Time to compute: < 0.01 second
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