- #1

zhulihuang

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## Homework Statement

Please prove the integral in the attachment

## Homework Equations

## The Attempt at a Solution

Tried many ways to solve it. Integration by parts, trig sub etc.

The closest one is the substitution $U=\frac{r^2}{2}-\frac{R^2/2}+x^2$, which gives some arcsin. I change it into arctan, but it is not the arctan mathematica shows. I guess it has something to do with the $\sqrt{R^2 - x^2}$, since it will blow up at R. May need delta function to handle it.

#### Attachments

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