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Do not divide by a leading coefficient that is zero spelled otherwise - #1940
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Rafael-SOWNet merged 4 commits intoOct 18, 2026
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Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
…AKING-CHANGES Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
…nt-that-vanishes-is-not-divided-by
…nt-that-vanishes-is-not-divided-by
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Part of #718.
1/(e^arccoth(a x) (c - a^2 c x^2)^k)(Rubi's 7.4.2:690-692) is answeredNaN + Con master. 2.5.0 left it unevaluated.The radical substitution writes these as a power of
(a (1 + u^2))^2 - (a (1 - u^2))^2, which is4 a^2 u^2. Its fourth-degree coefficient,-a^2 + a^2spelled otherwise, is zero.TakeConstantFactorOutOfDenominatorread that coefficient as the leading one and divided by it to make the polynomial monic, so every other coefficient was over zero. It now leaves a leading coefficient that is zero in lowest terms over the symbols alone.0f8406691/(e^acoth(a x) (c - a^2 c x^2)^2)NaN + C)1/(e^acoth(a x) (c - a^2 c x^2)^3)NaN + C)1/(e^acoth(a x) (c - a^2 c x^2)^4)NaN + C)1/((a (1+x^2))^2 - (a (1-x^2))^2)^3NaN + CMeasured:
0f840669. 690-692 are the only moves: 4,067 solved and 1 wrong, against 4,064 and 4 wrong.f05a5b1e): 4,829 passed.ALeadingCoefficientThatVanishesIntegralTest, three rows.BREAKING entry: A power of a polynomial whose leading coefficient is zero spelled otherwise is not divided by it. The 2.5.0 column was measured on the
v2.5.0package.🤖 Generated with Claude Code
https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura