Comment #26 on issue 1823 by asmeurer: integral.atoms(Symbol) should introspect
http://code.google.com/p/sympy/issues/detail?id=1823

OK, given that WIkipedia article, I am now in favor of the ones the Øyvind gave. So is everyone in agreement that it should be

a = Integral(x*y, (x, 1, 2))
a.atoms(Symbol)
set([x, y])
a.free_symbols
set([y])
a.bound_symbols
set([x])

? And by the way, if you read the article, both ∀x and ∃x bind the variable x (because x is just a placeholder in either case). Basically, if you can replace x with y everywhere and get a (mathematically) equivalent result, then x is bound. Otherwise, it is free.

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