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Integrate a power of a power of a logarithm over x below the question asked - #2037

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Oct 22, 2026
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Rafael-SOWNet merged 1 commit into
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Part of #233.

  • A power of a power of a logarithm over x. SolvePowersOfOneLinearAsOnePower answered only the question asked. Under u = ln(a x^n), Rubi's 3.5 (ln(a x^n)^2)^p/x is (u^2)^p/n, a symbolic power of a power of the variable, and that question is asked below the top. Below the top, the rule now reads powers of the variable itself when they have no sum in x. (u^2)^p is u (u^2)^p/(2 p + 1) on both sides of u = 0.

Chain against master 2a98be4:

  • The pocket went from 5,661 to 5,662 solved of 5,675, with 0 wrong.
  • Every family's sample is unchanged.
  • The one row that moved is 3.5:188. Master declines it, and this branch answers it.
  • 11,193 rows were compared for allocation, and none grew past 1.3x and 300 MB.

The branch is rebased onto 78cd31b. The BREAKING-CHANGES lengths were measured on the branch.

The full unit suite ran locally: 16,551 passed and 1 failed. The failure was SlowDeclinesAheadOfTheAnsweringRuleIntegralTest's x^4 (d + k x^2)^3 (a + b acosh(c x)), which hit its three-minute guard at load 17. Alone it takes about 20 s on this branch and on master alike.

🤖 Generated with Claude Code

https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura

… asked

SolvePowersOfOneLinearAsOnePower answered only at the question asked. Under
u = ln(a x^n), Rubi's 3.5 (ln(a x^n)^2)^p/x is (u^2)^p/n, a symbolic power of
a power of the variable, and that is a question below the top. Below it the
rule now reads powers of the variable itself, with no sum in x in them, and
(u^2)^p is u (u^2)^p/(2 p + 1) on both sides of u = 0.

Chain against master 2a98be4: pocket 5661 -> 5662 solved of 5675, 0 wrong;
every family's samples unchanged; the one row that moved, 3.5:188, master
declines and this answers. 11,193 rows compared for allocation, none grew
past 1.3x and 300 MB.

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 Rafael-SOWNet added this to the 2.6.0 milestone Oct 21, 2026
@Rafael-SOWNet
Rafael-SOWNet merged commit 49bf5d1 into master Oct 22, 2026
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@github-project-automation github-project-automation Bot moved this from Todo to Done in AngouriMath Oct 22, 2026
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