OFFSET
0,1
LINKS
Olivier Espinosa and Victor H. Moll, On some integrals involving the Hurwitz zeta function: Part 1, Raman. J. 6 (2002) 159-188, eq. (5.7).
FORMULA
Equals -Integral_{x=0..1} x^2* log(sin(Pi*x)) dx.
EXAMPLE
0.29194597430343497803291376809503507598583434521003...
MAPLE
log(2)/3+Zeta(3)/2/Pi^2 ; evalf(%) ;
MATHEMATICA
RealDigits[Log[2] / 3 + Zeta[3] / (2*Pi^2), 10, 120][[1]] (* Amiram Eldar, Aug 19 2024 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
R. J. Mathar, Aug 13 2024
STATUS
approved