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(E^(a*x)*Sqrt[x])/a - (Sqrt[Pi]*Erfi[Sqrt[a]*Sqrt[x]])/(2*a^(3/2))

Integrate[E^(a*x)*Sqrt[x], x] ==
(E^(a*x)*Sqrt[x])/a - (Sqrt[Pi]*Erfi[Sqrt[a]*Sqrt[x]])/(2*a^(3/2)) 

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

 a x
E    Sqrt[x]   Sqrt[Pi] Erfi[Sqrt[a] Sqrt[x]]
------------ - ------------------------------
     a                        3/2
                           2 a
Time to compute: 0.02 second
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