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(E^(a*x)*(-1 + a*x))/a^2


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



           a x
Integrate[E    x, x] == 

 a x
E    (-1 + a x)
---------------
       2
      a

Time to compute: < 0.01 second

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