Repository navigation
Integrate a power of x times a hyperbolic function of a power under that power - #1971
Merged
Rafael-SOWNet merged 1 commit intoOct 20, 2026
Conversation
…hat power x^m F(sinh(c + d x^n), cosh(c + d x^n)), with n >= 2 dividing m + 1, is taken under t = x^n: x^m dx is t^(k - 1) dt/n for k = (m + 1)/n, and the question in t is the same function of a linear in t beside a whole power of t, which the rules for those answer. The parser writes the hyperbolic functions as exponentials of c + d x^n, which the substitution search did not read as a function of x^n. Rubi's 6.1.3, 6.2.3, 6.5.2 and 6.6.2, seven rows with x sech(a + b x^2)^7 among them, were past the budget. Part of #233. Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
Rafael-SOWNet
deleted the
a-power-of-x-times-a-hyperbolic-function-of-a-power-under-that-power
branch
October 29, 2026 00:43
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
x^m F(sinh(c + d x^n), cosh(c + d x^n)), withn >= 2dividingm + 1, is now taken undert = x^n. Therex^m dxist^(k - 1) dt/nwithk = (m + 1)/n, and the question intis the same function of a linear intbeside a whole power oft, which the rules for those answer. The parser writes the hyperbolic functions as exponentials ofc + d x^n, which the substitution search did not read as a function ofx^n.Measured on
8a1ef454, branch against master:Re-run alone on both builds, 7 problems go from timed out to answered, in 0.08–1.3 s: Rubi's 6.1.3:32, 6.2.3:32, 6.5.2:26/40, 6.6.2:26/40 and 6.7.1:1246. None goes the other way. No run had a wrong answer.
APowerOfXTimesAHyperbolicFunctionOfAPowerIntegralTestdifferentiates the answers back.BREAKING-CHANGES.mdhas the entry, with the 2.5.0 column measured on v2.5.0.Part of #233.
🤖 Generated with Claude Code
https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura