OFFSET
1,2
COMMENTS
What is most interesting is the way Richard Easther (from Columbia University in 2001) tackles the evaluation of this tough integral.
LINKS
Richard Easther, A tough integral, MathGroup archive 2001.
EXAMPLE
1.8380176950105038526953143981399292684330865330126313942569918982...
MATHEMATICA
digits = 100; s = Sum[1/(Cos[x] + (x + n*2*Pi)^2), {n, 0, Infinity}]; NIntegrate[s, {x, 0, 2*Pi}, WorkingPrecision -> digits] // RealDigits[#, 10, digits]& // First (* after Richard Easther *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Mar 22 2013
STATUS
approved