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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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