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ArcTan[(1 + 2*x)/3]/3

Integrate[1/(5 + 2*x + 2*x^2), x] ==
ArcTan[(1 + 2*x)/3]/3 

                1
Integrate[--------------, x] == 
                       2
          5 + 2 x + 2 x

       1 + 2 x
ArcTan[-------]
          3
---------------
       3
Time to compute: < 0.01 second
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