Hello
The following function is homogenous of what degree?
f(x1,x2) : Integration of e^-{w^2/(x1^2+x2^2)} dw with limits from 0 to [x1^2+x2^2]^0.5
really lost in how to integrate this function and then find the required answer.
A function is homogneous of degree n if $\displaystyle f(\lambda x) = \lambda^nf(x)$, which in your case, because of the expontential is zero. Now for your integral what you want
$\displaystyle
\int_0^{\sqrt{x_1^2+x_2^2}} e^{-w^2/(x_1^2+x_2^2)}dw
$
If you let $\displaystyle y = \frac{w}{\sqrt{x_2^2+x_2^2}}$ and $\displaystyle r = \sqrt{x_2^2+x_2^2}$ then the integral becomes
$\displaystyle
r \int_0^1 e^{-y^2}dy = \frac{r \sqrt{\pi}}{2}\, \text{erf(1)}
$