0-x-1-ln-F-x-5-cos-pix-x-1-F-x-5-cos-pix-x-1-dx-F-x-Fib-x-xth-Extended-fibonacci-number-f-R-R-1-5-2-

Question Number 98776 by M±th+et+s last updated on 16/Jun/20

\int_{0}^{\infty} \frac{(x - 1)}{l n (F (x) \sqrt{5} + c o s (π x) {(φ)}^{- x} - 1) \sqrt{F (x) \sqrt{5} + c o s (π x) {(φ)}^{- x} - 1}} d x

F (x) = F i b (x) = x t h E x t e n d e d f i b o n a c c i n u m b e r

f : R \to R

φ = \frac{1 + \sqrt{5}}{2}