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E^x - x^(1 + E)/(1 + E)


Integrate[E^x - x^E, x] ==
E^x - x^(1 + E)/(1 + E)



           x    E
Integrate[E  - x , x] == 

      1 + E
 x   x
E  - ------
     1 + E

Time to compute: 0.01 second

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