# Differentiable functions without an antiderivative

Specifically, why is there no antiderivative, or any possible method of integrating (except numerically) say $\;e^{\csc(x)}$?

(I don't have my computer handy right now so I cant format the formula, sorry about that!)

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It's not that it doesn't have an antiderivative but that there's no expression for it in terms of a finite number of elementary functions. –  Sharkos Jun 5 '13 at 0:07