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Forum index » Science and Technology » Math » Recreational
Error Function
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frank z. meng
science forum beginner


Joined: 28 Jan 2006
Posts: 5

PostPosted: Wed Jul 05, 2006 5:20 am    Post subject: Error Function Reply with quote

Yesterday I was playing with erf(x), the error function after swimming
with my pals
Yet, I've got a problem in turning the double integral
\int{ \int{ e^{-x^2 - y^2} dx } dy } (restricted in the first
quadrant)
into polar coordinates
ANyone would like to help me with it?
Thanks
frank.
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William Elliot
science forum Guru


Joined: 24 Mar 2005
Posts: 1906

PostPosted: Wed Jul 05, 2006 5:56 am    Post subject: Re: Error Function Reply with quote

On Tue, 4 Jul 2006, Kalimdorking@gmail.com wrote:

Quote:
Yesterday I was playing with erf(x), the error function after swimming
with my pals
Yet, I've got a problem in turning the double integral
\int{ \int{ e^{-x^2 - y^2} dx } dy } (restricted in the first
quadrant)
into polar coordinates

r^2 = x^2 + y^2
tan t = y/x
dx dy = J dr dt = r dr dt
J the Jocbian of the transformation
t theta the angle

integeral integral re^(-r^2) dr dt
over first quadrant
= pi/2 * (-1/2)(-1)
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Google

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