Is there an algorithm for determining if a semi-algebraic function has a semi-algebraic anti-derivative? By semi-algebraic function, I mean a function that can be defined in a real closed field. For example, such an algorithm would determine that $\;f(x)=x+7\;$ has a semi-algebraic anti-derivative, but that $\;f(x)=1/x\;$ does not.
2026-04-13 21:44:16.1776116656
how to determine if a semi-algebraic function has a semi-algebraic anti-derivative
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