|
| |
|
|
A261710
|
|
Decimal expansion of Integral_{0..Pi/2} x^2*tan(x)*log(sin(x)) dx (negated).
|
|
1
|
|
|
|
2, 2, 7, 7, 1, 4, 4, 7, 9, 9, 7, 9, 5, 7, 9, 1, 6, 0, 6, 0, 6, 5, 5, 8, 0, 2, 6, 2, 6, 2, 1, 4, 7, 0, 3, 3, 4, 9, 3, 8, 4, 3, 9, 1, 3, 5, 5, 5, 0, 3, 1, 7, 2, 8, 8, 7, 1, 9, 1, 7, 9, 3, 4, 9, 0, 0, 0, 5, 1, 3, 3, 0, 4, 4, 3, 4, 8, 0, 8, 0, 7, 7, 2, 6, 1, 2, 6, 6, 3, 7, 0, 0, 7, 9, 8, 7, 0, 1, 5, 4, 4, 3, 6, 6, 4
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,1
|
|
|
COMMENTS
|
This integral appears in the expression of the 3rd moment of the distribution of the number of vertices of Goudsmit-Miles random polygonal cells.
|
|
|
LINKS
|
Steven R. Finch, Random Triangles V, December 22, 2010, p. 9. [Cached copy, with permission of the author]
|
|
|
EXAMPLE
|
-0.2277144799795791606065580262621470334938439135550317288719179349...
|
|
|
MATHEMATICA
|
NIntegrate[x^2*Tan[x]*Log[Sin[x]], {x, 0, Pi/2}, WorkingPrecision -> 105] // RealDigits // First
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
