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ExpIntegralEi[(-I)*x]/2

Integrate[1/(2*E^(I*x)*x), x] ==
ExpIntegralEi[(-I)*x]/2 

             1
Integrate[--------, x] == 
             I x
          2 E    x

ExpIntegralEi[-I x]
-------------------
         2
Time to compute: < 0.01 second
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