integrate the polar co ordinates
$$ \int^{r=\infty}_{r=0} \int^{z=\infty}_{z=-\infty} \delta(r) \delta(z-z_s) dz dr$$
=>
I want to integrate the above equation.
integral of $ \int^ {z=\infty} _ {z= -\infty} \delta(z-z_s) dz =1$ and integral of $ \int ^{r= ∞}_ {r=0} \delta(r) dr= \dfrac{1}{2}.$
then from the above integrations can i say
integral of $$\int ^{r= ∞}_ {r=0} \int^ {z=\infty} _{ z= -\infty} {\delta(r) \delta(z-z_s)} dz dr =\frac {1}{2}$$
if i integrate in terms $r$ and $z$ with respect to $\delta$ function.