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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   Message 9,393 of 10,432   
   apovolot@gmail.com to All   
   Interesting Integral   
   18 Apr 17 13:18:59   
   
   b630b449   
   Per   
   https://math.stackexchange.com/questions/2230651/a-conjectured-c   
   ntinued-fraction-for-phi-phi   
   integrating from 0 to infinity of the function:   
      
   e^(-x*(2+(1+sqrt(5))/2))*(cosh(x)+sqrt(5)*sinh(x))^((1+sqrt(5))/2)   
      
   is supposed to be:   
   (phi^phi - 1/phi)/2   
   where phi =(sqrt(5)+1)/2   
      
   Maxima can't find this result symbolically, but numerical integration gives   
   the expected result.   
      
   What about other computer algebra systems?   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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