A335932 Decimal expansion of arclength on y = cos(x) from (0,1) to (Pi/4,sqrt(1/2)).

8, 5, 2, 0, 0, 3, 3, 9, 3, 1, 2, 1, 2, 9, 2, 9, 5, 1, 2, 2, 4, 4, 9, 1, 6, 4, 9, 1, 4, 9, 7, 7, 4, 7, 5, 8, 2, 0, 6, 4, 9, 3, 3, 0, 7, 5, 4, 3, 9, 4, 5, 4, 2, 9, 9, 7, 9, 6, 0, 3, 7, 0, 3, 9, 6, 1, 9, 1, 5, 2, 6, 4, 4, 8, 3, 4, 7, 0, 1, 6, 5, 7, 2, 4, 8, 6

Offset: 0

Author

Clark Kimberling, Jul 03 2020

Keywords

• nonn
• cons

Comments

This arclength is also the arclength on y = sin(x) from (Pi/4,sqrt(1/2)) to (Pi/2,1).

Examples

			arclength = 0.85200339312129295122449164914977475820649330754394...
		

Crossrefs

Cf. A335928, A335929, A335930, A335931.

Programs

Mathematica

r = NIntegrate[Sqrt[1 + Sin[t]^2], {t, 0, Pi/4}, WorkingPrecision -> 200]
RealDigits[r][[1]]