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-ArcTanh[(2*x)/3]/6

Integrate[1/(-9 + 4*x^2), x] ==
-ArcTanh[(2*x)/3]/6 

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

         2 x
-ArcTanh[---]
          3
-------------
      6
Time to compute: < 0.01 second
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