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 Carlo? Many thanks in advance!
 
Best regards,
Yingfu
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