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Integrate four inverse-hyperbolic shapes - #2028
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Rafael-SOWNet merged 1 commit intoOct 21, 2026
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… even quadratic, x^m arsech or arcsch of sqrt(x), a polynomial over a power of the linear of an artanh, and arcoth as artanh plus a constant - An inverse hyperbolic function over a half-odd power of an even quadratic, by parts against it. - A power of x times the arsech or arcsch of sqrt(x), by parts. - A polynomial over a power of the linear of an artanh, written in powers of the linear. - An arcoth of a linear as its artanh plus a constant, last of all, so that every arcoth answered as written keeps that answer. Chain against master f7f2a7a: pocket of 1,509 rows, 1,498 -> 1,501 solved, 0 wrong; samples unchanged; the 3 rows that moved, alone, 0 -> 3 solved: Rubi's 7.3.4:133 and 639 and 7.4.1:74. Where master answers the same integrands it writes them longer: atanh(a x)/(c + d x^2)^(3/2) is 4,645 characters there and 1,034 here, acosh(a x)/(c + d x^2)^(9/2) 9,652 and 2,409. No row's allocation grew past 1.3x. Part of #233. 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 #233.
Four shapes of Rubi's family 7, one test class and one BREAKING-CHANGES entry each:
sqrt(x), by parts.acoth(x)^2/(1 - x^2)^2is(atanh(x) + K)^2/(1 - x^2)^2withK = acoth(x) - atanh(x), which is constant where it is continuous.Chain against master f7f2a7a, with the harness at its current revision on both arms:
x (a + b atanh(c x))^2/(d + c d x)^3, 7.3.4:639 and 7.4.1:74,acoth(x)^2/(1 - x^2)^2;Where master already answers these integrands, it writes them longer:
atanh(a*x)/(c+d*x^2)^(3/2)atanh(a*x)/(c+d*x^2)^(9/2)acosh(a*x)/(c+d*x^2)^(9/2)(a+b*asinh(c*x))/(d+k*x^2)^(7/2)x^3*asech(sqrt(x))31 tests pass locally across the four classes and the corpus gate.
🤖 Generated with Claude Code
https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura