What is $\displaystyle \int x^x$

And if it is a non integrable function then what is the reason behind it?

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- Oct 20th 2008, 06:44 AMgreat_mathPartly Conceptual
What is $\displaystyle \int x^x$

And if it is a non integrable function then what is the reason behind it? - Oct 20th 2008, 08:48 AMbatman
note x^x = (e^ln(x))^x = e^(xln(x)). This function isn't integrable. The proof goes similar to the proof that e^(x²) isn't integable which is probably in your textbook.