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(E^x*(4 + E^x))/2 + x


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



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

 x       x
E  (4 + E )
----------- + x
     2

Time to compute: < 0.01 second

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