Comment #21 on issue 1823 by [email protected]: integral.atoms(Symbol) should introspect
http://code.google.com/p/sympy/issues/detail?id=1823
I would suggest that we should follow common text book terminology if possible. In the calculus book we used (R.A.Adams: Calculus) the terminology is "index of summation" and "variable of integration". A term that is used for both is "dummy variable", so what about .dummy_variables() and .proper_variables().
As Aaron commented, "dummy" may be confused with the Dummy class, but maybe it is actually the Dummy class that has a misleading name. It is used to construct unique symbols, which may or may not be dummies in the expression. Perhaps we could rename Dummy to UniqueSymbol or something like that.
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