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2*E^(a + x)*DawsonF[Sqrt[x]]

Integrate[E^(a + x)/Sqrt[x], x] ==
2*E^(a + x)*DawsonF[Sqrt[x]] 

           a + x
          E
Integrate[-------, x] == 
          Sqrt[x]

   a + x
2 E      DawsonF[Sqrt[x]]
Time to compute: < 0.01 second
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