A257176 Decimal expansion of Integral_{x=0..1} Integral_{y=0..x} sin(x*y) dy dx.

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

Offset: 0

Author

Robert G. Wilson v, Apr 17 2015

Keywords

• nonn
• cons
• easy

Comments

One of the examples in Mathematica's help file under "Integrate".

Examples

			0.1199058710002823629719329430966258305222906516770958520022243462243686983763...
		

Crossrefs

Cf. A001620, A099282.

Programs

Mathematica

RealDigits[Integrate[Sin[x y], {x, 0, 1}, {y, 0, x}], 10, 111][[1]]

Formula

Equals (A001620 - A099282)/2.