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ArcTan[E^(2*x)]/2


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



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

        2 x
ArcTan[E   ]
------------
     2

Time to compute: < 0.01 second

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