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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 8,484 of 10,432    |
|    Nasser M. Abbasi to Herman Rubin    |
|    Re: error in an integral, Rubi 4.3, Quot    |
|    30 Nov 13 18:45:43    |
      From: nma@12000.org              On 11/30/2013 5:51 PM, Herman Rubin wrote:              >       > Elliptic functions handle square roots of polynomials up to degree 4.       > This is a fifth degree polynomial, and I do not see any substitution       > which can get the degree down to 4.       >       > This is going beyond elementary functions; I am not surprised       > that a closed form has not turned up.       >              Thanks, this is nice thing to remember, will add to my       calculus cheet sheet.              Interesting that degree 4 for polynomial here, happened to be       also the degree limit for finding closed form formula for roots of       polynomials (in radicals). The number 4 must be special in       some way. I did not see this was a 5th order       polynomial (sitting under the root) without your       simplification since Simplify[] in Mathemtica did not       do it at first (but now I see it, once I used ComplexExpand       on it first and then simplified it)              --Nasser              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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