How might one go about evaluating the following integral $\int_{-\infty}^{\infty}\mathrm{K}_{j=0}^{\infty}(F_{j}e^{-x^2})dx$? Where$\mathrm{K}$ denotes a continued fraction and $F_j$ is the jth fibonacci number. Looking at the graph of the function, it has to be a positive number but I have no clue about how to integrate it analytically.
2026-03-28 03:56:19.1774670179
Integral of a Continued Fraction
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