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

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

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

           1 - n/2
2 (a + b x)
------------------
    2 b - b n
Time to compute: 0.02 second
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