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

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

                    2 -1 - m
Integrate[x (a + b x )      , x] == 

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