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Integrate a function of an inverse function of a linear beside its powers under the linear - #1929

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Rafael-SOWNet merged 3 commits into
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an-inverse-function-of-a-linear-beside-its-powers-under-the-linear
Oct 17, 2026
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Rafael-SOWNet merged 3 commits into
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an-inverse-function-of-a-linear-beside-its-powers-under-the-linear

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Part of #718.

(c e + d e x)^3 (a + b asinh(c + d x))^2 timed out, although x^3 (a + b asinh(x))^2 is answered in half a second, and the first is the second under u = c + d x. This rule reads each power of a multiple of the linear k (c + d x) as (k u)^m, takes the inverse function's argument as u, and asks the integral in u divided by d.

Rubi corpus, against master 67d8e8d (budget 5 s):

master this branch
7.1.5:195 (c e+d e x)^3 (a+b asinh(c+d x))^2 timeout 620 ms
7.1.5:205 … ^3 timeout 415 ms
7.1.5:214 … ^4 timeout 656 ms
7.2.5:195 (c e+d e x) (a+b acosh(c+d x))^4 timeout 95 ms

Nothing else moves:

  • Family 0 is run whole and families 1–8 sampled. The 2,151-row pocket has no losses and no new wrong answers.
  • 7.2.4:599 moved in the sampled run, but run alone it is solved on both arms in about 22 s.
  • The allocation gate and the suite pass.

2.5.0 leaves all four unsolved. They are recorded in BREAKING-CHANGES with their sizes, 3,574 to 9,539 characters.

🤖 Generated with Claude Code

https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura

Rafael-SOWNet and others added 3 commits October 17, 2026 00:13
…r the linear

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
…-of-a-linear-beside-its-powers-under-the-linear

# Conflicts:
#	Sources/AngouriMath/Functions/Continuous/Integration/IndefiniteIntegralSolver.cs
#	Sources/AngouriMath/Functions/Continuous/Integration/Integration.Definition.cs
…G-CHANGES

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 17, 2026
@Rafael-SOWNet
Rafael-SOWNet merged commit f77c4ad into master Oct 17, 2026
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@github-project-automation github-project-automation Bot moved this from Todo to Done in AngouriMath Oct 17, 2026
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