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


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



                  2
           a + b x
Integrate[E        , x] == 

        2
 a + b x
E         DawsonF[Sqrt[b] x]
----------------------------
          Sqrt[b]

Time to compute: < 0.01 second

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