Integrate e^(-r^2)


by Zurtex
Tags: integrate
Zurtex
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#1
May23-07, 10:08 AM
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Nevermind sorry, think I've found a sufficent article on wikipedia to help me:

http://en.wikipedia.org/wiki/Gaussian_integral
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Gib Z
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May24-07, 06:18 AM
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From memory the Gaussian integral is from infinity to negative infinity..if you want something that act's as an anti derivative, try the Error Function ( erf(x) )

EDIT: ~sigh~ I just realised the erf(x) also has bounds, my bad.
Zurtex
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May29-07, 05:53 AM
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Quote Quote by Gib Z View Post
From memory the Gaussian integral is from infinity to negative infinity..if you want something that act's as an anti derivative, try the Error Function ( erf(x) )

EDIT: ~sigh~ I just realised the erf(x) also has bounds, my bad.
Thanks, the problem was actually in response to a house mate on a physics course who had this integral and was utterly perplexed how one would integrate it from negative to positive infinity. I remembered it was a standard integral but forgot the details how to do it, anyway in the end it turned out he was integrating over the wrong co-ordinates anyway and it was much more simple once he transformed the integral.

But thanks for trying

uart
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#4
May29-07, 09:11 AM
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Integrate e^(-r^2)


Zurtex, this was already being discussed in another thread at about the same time as you started this one. See the following link for details :

http://www.physicsforums.com/showthread.php?t=171014
theperthvan
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#5
May29-07, 09:35 AM
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how about integrating it wrt x. Easy!


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