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Integrate a power of x times an inverse tangent and the logarithm of its quadratic by parts - #1926
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Rafael-SOWNet merged 3 commits intoOct 17, 2026
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…its quadratic by parts Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
…-the-logarithm-of-its-quadratic # Conflicts: # Sources/AngouriMath/Functions/Continuous/Integration/IndefiniteIntegralSolver.cs # Sources/AngouriMath/Functions/Continuous/Integration/Integration.Definition.cs
…n BREAKING-CHANGES Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
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Part of #718.
x^k (a + b atan(c x)) (d + e ln(1 + c^2 x^2))is integrated by parts.Divided(n)uses the recurrence onx^n/(1 + c^2 x^2).k, the two remainders that have no elementary antiderivative on their own are paired asr1 F G, whereFis the inverse tangent andGthe logarithm.Rubi chain (master arm at 67d8e8d, 5 s budget):
On 2.5.0 all four were
integral(...). The branch answers them in 1,710 to 5,027 characters, each in under 0.5 s.🤖 Generated with Claude Code
https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura