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(Sqrt[Pi]*Erfi[((1 + 2*x)*Sqrt[Log[2]])/2])/(2*2^(1/4)*Sqrt[Log[2]])

Integrate[2^(x + x^2), x] ==
(Sqrt[Pi]*Erfi[((1 + 2*x)*Sqrt[Log[2]])/2])/ (2*2^(1/4)*Sqrt[Log[2]]) 

                2
           x + x
Integrate[2      , x] == 

              (1 + 2 x) Sqrt[Log[2]]
Sqrt[Pi] Erfi[----------------------]
                        2
-------------------------------------
            1/4
         2 2    Sqrt[Log[2]]
Time to compute: 0.09 second
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