Expotanial integration exp(ax^n+bx) ?

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Hi All

How to integrate this?

exp(ax^n+bx)

Thanks in advance
 
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Which methods have you already tried?

Torquil
 
Even something as simple as e^{x^2} with a= 1, b= 0, n= 2, does not have an elementary anti-derivative.
 
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I tried the following methods:
by part
by substitution
by partial fraction

thanks
 

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