login
A248968
Decimal expansion of the area bounded by x = 1, y = sin(1/x), and y = tan(1/x).
5
2, 9, 4, 3, 5, 8, 6, 3, 2, 2, 7, 3, 8, 5, 3, 5, 4, 0, 0, 7, 6, 0, 0, 6, 2, 8, 4, 6, 4, 9, 3, 1, 6, 3, 4, 8, 8, 7, 5, 0, 1, 4, 0, 2, 3, 8, 0, 9, 6, 3, 9, 6, 3, 2, 6, 6, 3, 3, 6, 1, 5, 1, 4, 2, 9, 0, 8, 0, 9, 7, 5, 0, 3, 7, 1, 5, 0, 6, 3, 6, 6, 6, 5, 7, 8, 6
OFFSET
0,1
LINKS
FORMULA
Let u,v,w be the constants at A248965, A248967, and A248968, respectively. Then w = u + v.
EXAMPLE
area = 0.294358632273853540076006284649...
MAPLE
evalf(int(tan(1/x)-sin(1/x), x = 1..infinity), 120); # Vaclav Kotesovec, Oct 20 2014
MATHEMATICA
v = Integrate[Tan[1/x] - Sin[1/x], {x, 1, Infinity}]
N[v, 100]
s = RealDigits[N[v, 200]][[1]] (* A248968 *)
Plot[{Tan[1/x], Sin[1/x]}, {x, 1, Pi}]
CROSSREFS
KEYWORD
nonn,easy,cons
AUTHOR
Clark Kimberling, Oct 18 2014
STATUS
approved