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-Sqrt[27 + 6*x - x^2] - 3*ArcSin[(3 - x)/6]

Integrate[x/Sqrt[27 + 6*x - x^2], x] ==
-Sqrt[27 + 6*x - x^2] - 3*ArcSin[(3 - x)/6] 

                   x
Integrate[-------------------, x] == 
                           2
          Sqrt[27 + 6 x - x ]

                  2             3 - x
-Sqrt[27 + 6 x - x ] - 3 ArcSin[-----]
                                  6
Time to compute: 0.03 second
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