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Integrate exp(-x^2), dx

  1. Jun 14, 2004 #1
    hi all,

    i've tried to solve this thing with Derive, but it gave me some vague erf(x) function (error function??). Is there some gosu-mathematician who can help me solve the integral?

    [tex] \int exp(-x^2) dx [/tex]

    Last edited: Jun 14, 2004
  2. jcsd
  3. Jun 14, 2004 #2


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    There is no analytic form to the gaussian integral. You need to look up values in the erf table for definite integrals.
  4. Jun 14, 2004 #3
    ah, that clarifies a lot, thank you.
  5. Jun 14, 2004 #4


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    Tom did this using double integration here: https://www.physicsforums.com/showthread.php?t=25798&page=2

    Have fun!

  6. Jun 14, 2004 #5
  7. Jun 16, 2004 #6


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    Why's that?
  8. Jun 16, 2004 #7
    It's the limits of integration that count here. Say you're trying to integrate a hard function, but there's a neat little trick for working out the integral from zero to infinity. That trick probably won't help you if you're integrating from, say, 1 to 5.729.
  9. Jun 17, 2004 #8
    When I first did that integral (the trick way with the nice limits) I thought it was the neatest thing.
  10. Jul 9, 2004 #9
    integrate exp(-(x/C)^k), dx with k>0 and C>0

    Hello to you all,

    i've tried hard to solve this problem related with the wind resources, but so far like Tom Mattson said in is post, i solved the problem to k=2, but i can't solve it to any k>0!!!

    integrate exp(-(x/C)^k), dx with k>0 and C>0

    Is there anyone willing to help me ????

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