Integral Signs

In calculus, we meet this fellow:

∫

And in multivariable calculus, we meet these folks:

∬ ∭

If we go on to complex analysis, we meet this guy:

∮

But what's a legitimate usage of these guys?  

∯ ∰

Are they deprecated symbols which are avoided in favor of the above, with slightly different notation?  Are they only used in complex analysis?

∫ line integral - ∮closed line integral, a loop, etc.
∬Surface integral - ∯ Closed surface integral, like when you say the magnetic flux over a closed surface is 0, you use that.
and so on. Those are just physic interpretations.