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Thread: Is this elementary.

  1. January 19th 2006, 01:08 PM #1
    ThePerfectHacker
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    Is this elementary.

    Is x^x an elementary function?
    I do not think it is, is that right?
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  2. January 19th 2006, 04:44 PM #2
    Jameson
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    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
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  3. January 19th 2006, 05:36 PM #3
    hpe
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    Quote Originally Posted by ThePerfectHacker
    Is x^x an elementary function?
    x^x = e^{x \cdot \ln x}, so it's elementary.
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  4. January 19th 2006, 06:00 PM #4
    ThePerfectHacker
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    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.
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