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How can you prove that a function has no closed form integral?
Why can't erf be expressed in terms of elementary functions?

By trivial primitives I mean expressions involving logarithms, polynomials, and trigonometrical or exponential functions.


marked as duplicate by sdcvvc, Sasha, Gerry Myerson, J. M. is a poor mathematician, t.b. Aug 29 '12 at 8:59

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