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Topic: Interesting Integral
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apovolot@gmail.com

Posts: 104
Registered: 9/4/08
Interesting Integral
Posted: Apr 18, 2017 6:11 PM
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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?



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