I have this equation which I am not able to integrate and plot:
$$F(y)=\int_{A_{3}}^{\infty}\frac{1}{2}\left[1+\mathrm{erf}\left(\frac{y-\mu}{\sqrt{2}z}\right)\right]f(z)dz $$
where $f(z)$ is given by: $$f(z)=L\sum_{k=0}^{m-1}\binom{m-1}{k}(-A_3)^{m-1-k}z^k\exp(-bz).$$
Here, $L$, $b$, $A_3$, $μ$ are constants, $\mathrm{erf}(\cdot)$ is the error function and $m$ takes integer values.