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Comment #8 on issue 527 by mattpap: 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

In commits 27f8bc6eef07da622590140c253444267b6797f3 and 8e2f6ae549d5af0f6b68d1ca0f9060b447503c47 in release0.7.0 branch from sympy-polys, diff() was allowed to work in the univariate case without symbols and integrate() was forbidden from work in the multivariate case without symbols, e.g.:

In [1]: diff(x**2 + 1)
Out[1]: 2⋅x

In [2]: diff(x**2 + y)
(...)
ValueError: specify symbols to differentiate y + x**2

In [3]: integrate(x**2 + 1)
Out[3]:
     3
    x
x + ──
    3

In [4]: integrate(x**2 + y)
(...)
ValueError: specify symbols to integrate y + x**2

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