Recently I have begun thinking about the function x^x. I am well aware that there is no elementary function to define it's antiderivative, and intuitively it makes sense (I cannot think of an elementary function who's derivative is x^x). However, how would one go about proving this rigorously?(adsbygoogle = window.adsbygoogle || []).push({});

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# How does one go about proving an elementary solution to an integral does not exist?

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