I have a Calculus 2 background, so please don't get too technical. If the answer is no, what are the loosest restrictions we can place on $p$ and $q$ so that the answer is yes?
2026-05-04 09:01:30.1777885290
Does $\int \dfrac {p(x)}{q(x)} dx$ for any polynomials $p$ and $q$ have a closed form in elementary functions?
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Yes, it is possible. See, for example, here