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An exponential of the sine or the cosine beside a polynomial in x, the sine and the cosine is integrated - #1859
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Rafael-SOWNet merged 3 commits intoOct 12, 2026
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October 12, 2026 11:52
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Part of #718.
e^sin(x) sec(x)^2 (x cos(x)^3 - sin(x))was declined, Rubi's 4.7.7 #1036; it is(e^sin(x) (x - sec(x)))'.SolveByTrigonometricTowerAnsatzread the exponent only when it was linear inx. It now also reads an exponent that is a polynomial inx, the sine and the cosine, and addsh' m Qto each column of the bracket, whereh'is the exponent's derivative.e^sin(x)*sec(x)^2*(x*cos(x)^3 - sin(x))e ^ sin(x) * (-1 + x * cos(x)) / cos(x)e^cos(x)*(x*sin(x) - 1)e ^ cos(x) * -xe^sin(x)*(x*cos(x) + 1)e ^ sin(x) * xRubi corpus, branch against master's tree: one problem gained (4.7.7 #1036), none lost, 0 wrong in every family and in a 15,231-row pocket. Kernel gate passes. The full suite passed 15260 of 15260; the first run aborted on a test-host crash that left no stack trace, and neither a full rerun nor three runs of the tests in flight at the crash reproduced it.
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