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Log[-3 - E^(2*x)]/2


Integrate[E^(2*x)/(3 + E^(2*x)), x] ==
Log[-3 - E^(2*x)]/2



             2 x
            E
Integrate[--------, x] == 
               2 x
          3 + E

          2 x
Log[-3 - E   ]
--------------
      2

Time to compute: < 0.01 second

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