Hello,
 
I understand that the standard way out is the Polar Conversion. I was almost there, but I must have thought something wrong. I will try that again. Thanks for your reply!
 
Best regards,
Yingfu


________________________________
From: Jeff Newmiller <jdnewmil@dcn.davis.CA.us>

ect.org> 
Sent: Tuesday, May 8, 2012 1:44 PM
Subject: Re: [R] Numerical integration of a two dimensional function over a disk

"Simply impossible" seems an odd description for a technique described in every elementary calculus text under the heading "integration in cylindrical coordinates".
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>Hello, there!
>�
>Basically my problem is very clear. I would like to take a
>(numerical)�integration of a function f(x,y) which can be quite complex
>of x and y, over a disk (x-a)^2+(y-b)^2<= r^2 (with r constant).
>However, after some search in R, I just cannot find a function in R
>that suits my purpose. Function Integrate applies to one dimensional,
>and adaptIntegrate to�rectangle. In my case, it is not easy or
>simply�impossible�to transform�the definition area�to a rectangle with
>constant�boundaries. ��I must have missed something, but is there any R
>function which can solve the integration without going to ex. Monto
[[elided Yahoo spam]]
>�
>Best regards,
>Yingfu
>    [[alternative HTML version deleted]]
>
>______________________________________________
>R-help@r-project.org mailing list
>https://stat.ethz.ch/mailman/listinfo/r-help
>PLEASE do read the posting guide
>http://www.R-project.org/posting-guide.html
>and provide commented, minimal, self-contained, reproducible code.
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