• Interesting Integral

    From apovolot@gmail.com@21:1/5 to All on Tue Apr 18 16:11:14 2017
    Per
    https://math.stackexchange.com/questions/2230651/a-conjectured-continued- 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: fsxNet Usenet Gateway (21:1/5)