Exponential Integration

It's been about 10 years since I last took calculus, and I seem to have forgotten some things.  I'm ripping through my various calculus books (and diff eq) trying to find the answer, but I can't seem to find it.  I'm also trying various substitutions to no avail.  Here's what I'm trying to integrate:
INT e^f(x) dx
I can find INT f'(x)e^f(x) dx, but not it.  Unfortunately, f'(x) is not a constant; it is a polynomial.  I remember them telling us that not all functions (even continuous) can be integrated, but this sure feels like it should be integratable.

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if f(x) can be something like -x^2 there may not be a closed form solution in terms of elementary functions

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ChefInnocentAuthor Commented:
Thanks!  I was able to use the "elentary functions" to look up at Mathworld.  From there, I found that I can reduce my problem to the erf(z) which thrusts me into the Gamma function.  Now, I have a computational answer for my problem.

-- Daniel
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