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Cancel a power of a cosine over a binomial in the sine - #1930
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Rafael-SOWNet merged 3 commits intoOct 17, 2026
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…egrating Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
…-one-plus-a-sine-cancelled # Conflicts: # Sources/AngouriMath/Functions/Continuous/Integration/IndefiniteIntegralSolver.cs # Sources/AngouriMath/Functions/Continuous/Integration/Integration.Definition.cs
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
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October 29, 2026 00:43
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Part of #718.
cos(c + d x)^2/((e + f x) (a + a sin(c + d x)))was left unevaluated.cos^2/(1 + sin)is1 - sinwherever the integrand is defined, so this cancels the cosine's power against the binomial in the sine. What remains is a sine or cosine over a power of a linear, which is answered withSiandCi.Rubi corpus, against master 67d8e8d (budget 5 s):
cos(c+d x)^2/((e+f x)(a+a sin(c+d x)))cos(c+d x)^2/((e+f x)^2 (a+a sin(c+d x)))cos(c+d x)^3/((e+f x)(a+a sin(c+d x)))cos(c+d x)^3/((e+f x)^2 (a+a sin(c+d x)))Nothing else moves:
2.5.0 leaves all four unsolved. They are recorded in BREAKING-CHANGES with their sizes, 132 to 790 characters.
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