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This is probably a really simple question, but I think that I am getting lost in notation. I want to integrate the following over all values of the (2-dimensional) vector [tex]\overline{r}[/tex]:

[tex]

\int_{\overline{r}} \frac{\delta(\abs{\overline{r}-L})}{2\pi L} \overline{r} d\overline{r}

[/tex]

Basically, I want to integrate over all space. I think that the way to proceed is to convert to spherical polar coordinates but I'm not really sure how.

Edit

... delta is a dirac delta function. Sorry I didn't specify that before... maybe it's adding unnecessary complexity to my question. All i really want to know is how to deal with the [tex]\overline{r}[/tex] out front.

Thank you,

-ben

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# Integrate over all values of a vector

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