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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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