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-ArcSin[(1 - 2*x)/5]

Integrate[1/Sqrt[(3 - x)*(2 + x)], x] ==
-ArcSin[(1 - 2*x)/5] 

                    1
Integrate[---------------------, x] == 
          Sqrt[(3 - x) (2 + x)]

        1 - 2 x
-ArcSin[-------]
           5
Time to compute: 0.01 second
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