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Integrate[(-3 + 2*x)/(13 + 6*x + x^2), x] ==
(-9*ArcTan[(3 + x)/2])/2 + Log[13 + 6*x + x^2]

            -3 + 2 x
Integrate[-------------, x] == 
                      2
          13 + 6 x + x

          3 + x
-9 ArcTan[-----]
            2                      2
---------------- + Log[13 + 6 x + x ]
       2