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Subject: Interesting Integral
From: apovolot@gmail.com
Newsgroups: sci.math.research
Organization: World Wide Maths
Date: Tue, 18 Apr 2017 22:11 UTC

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From: apovolot@gmail.com (apovolot@gmail.com)
Newsgroups: sci.math.research
Subject: Interesting Integral
Date: Tue, 18 Apr 2017 16:11:14 -0600
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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?

Subject	Author
Interesting Integral	apovolot@gmail.com

BOFH excuse #287: Telecommunications is downshifting.

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