# Math Help - Is this elementary.

1. ## Is this elementary.

Is $x^x$ an elementary function?
I do not think it is, is that right?

2. I think it is elementary. The integral however isn't. Check out MathWorld's page on elementary functions for a definition.

http://mathworld.wolfram.com/ElementaryFunction.html

3. Originally Posted by ThePerfectHacker
Is $x^x$ an elementary function?
$x^x = e^{x \cdot \ln x}$, so it's elementary.

4. Curious, why is $\int e^{x^2}dx$ not elementary? How do you prove it?

It seems to be anagolus with Galios' Theory for the insolvability of the quintic. Namely, to show that in finite steps a solution cannot be reached.