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ArcSin[(3*x)/2]/3

Integrate[1/Sqrt[4 - 9*x^2], x] ==
ArcSin[(3*x)/2]/3

                1
Integrate[--------------, x] == 
                      2
          Sqrt[4 - 9 x ]

       3 x
ArcSin[---]
        2
-----------
     3
Time to compute: < 0.01 second
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