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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 9,214 of 10,432    |
|    Nasser M. Abbasi to All    |
|    integration of sec(t)    |
|    21 Nov 16 22:35:34    |
      From: nma@12000.org              It is interesting how different CAS outputs differ sometimes.       I was trying to verify book result for int(sec(t),t) and this       is what some CAS systems gave              Mathematica: ln(cos(t/2)+sin(t/2))-ln(cos(t/2)-sin(t/2))       Rubi: arctanh(sin(t))       Fricas: 1/2 ( ln(1+sin(t)) - ln(1-sin(t)) )       Maple & Maxima: ln(sec(t)+tan(t))              Text Book happens to give result shown by Maple&Maxima.              Ofcourse all other results are also correct, I am sure,       and these can all be converted to each others.              Was Wondering if there is any preference, math-wise, to any one       of the above results. From the Mathematica result, it seems       to hint that it used the Tangent half-angle substitution,       also called Weierstrass substitution.              What does you CAS give to int(sec(t),t) if different from       the above?              --Nasser              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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