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ArcTan[(2*x)/3]/6

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

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

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