[VA] SRC#001 - Spiky Integral

[Gerson W. Barbosa]

(07-10-2018 10:10 PM)Valentin Albillo Wrote:  Using this numerical evidence I have my own conjecture on what the result will be for general N, which I'll post in a few days...

Hello, Valentin,

Here is my conjecture for the exact result when N = 39:

\(\frac{756388295}{68719476736}\pi\)

No programs. I’ve evaluated the integrals for N up to 12 on my CASIO fx-991 LA X, which does it fast enough and gives exact results for N = 1, 2, 3, 4, 7 and 8. No googling, except for a OEIS sequence.

Best regards,

Gerson.