I am trying to calculate the integral

$$ y(x)=\int^b_a dz\delta(x-w_z) $$

were $\delta$ is the dirac delta function, $a=-3$, $b=3$ and $w$ is a one-dimensional matrix such that for some values of $z$ there is an associated value of $w$.

I think this Integral is related to the Dirac measure.