Can not catch a JuliaError caused by function blowing up to infinity about quadgk.jl HOT 2 CLOSED

That's not how Julia exceptions work. If quadgk throws an exception, e.g. due to your integrand blowing up, then it does not have a return value.

You could do

integral, err = try
    quadgk(....)
catch
    Inf, Inf
end

if you want to use Inf as the value when it throws an error, for example.

from quadgk.jl.

If you have further questions about exceptions and try/catch syntax, I would suggest https://discourse.julialang.org/

from quadgk.jl.