Comment #7 on issue 527 by asmeurer: guessing what functions, like integrate, roots, factor, apart (and many more), should do with the given expression
http://code.google.com/p/sympy/issues/detail?id=527
I don't like how integrate(x*y) automatically integrates with respect to all the variables. But I also don't like how diff(x**2) doesn't work. I think for diff() and integrate(), these should work automatically if and only if there is exactly one symbol in the expression.
I don't see how sum(), product(), or limit() could work without a symbol, since these also require limits. series() is different because it has a default number of terms, so maybe it should work like diff() and integrate().
It also needs to be clear in the docstrings that this is just for convenience use in the interpreter, and should never be used in an algorithm, where you never know if another symbol will creep in.
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