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E^x + E^(2*x) + E^(3*x)/3

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

           x       x 2
Integrate[E  (1 + E ) , x] == 

             3 x
 x    2 x   E
E  + E    + ----
             3
Time to compute: < 0.01 second
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