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-(x^(1 - m)*ExpIntegralE[m, -(a*x)])

Integrate[E^(a*x)/x^m, x] ==
-(x^(1 - m)*ExpIntegralE[m, -(a*x)]) 

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

   1 - m
-(x      ExpIntegralE[m, -(a x)])
Time to compute: 0.01 second
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