i've got the following problem(adsbygoogle = window.adsbygoogle || []).push({});

let be the integral [tex] \int_{R^{3}} dxdydz \frac{R(x,y,z)}{Q(x,y,z)} [/tex]

here R(x,y,z) and Q(x,y,z) are Polynomials on several variable.

Let us suppose this integral is divergent, in order to regularize it i have thought about substracting several terms so

[tex] \int_{R^{3}} dxdydz( \frac{R(x,y,z)}{Q(x,y,z)}-\sum_{i,j,k} C_{i,j,k}(x+a)^{i}(y+b)^{j}(z+c)^{k}) [/tex]

is convergent, here i,j,k can run from -1 to up a certain finite integer

for the one dimensional case i know how to do it but i have not any idea to generalize to several variables

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# Regularization of a divergent integral in several variables

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