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Interesting Integral
Posted:
Apr 18, 2017 6:11 PM


Per https://math.stackexchange.com/questions/2230651/aconjecturedcontinued fractionforphiphi 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?



