Timeline for Looking for an interesting problem/riddle involving triple integrals.
Current License: CC BY-SA 2.5
16 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 24, 2019 at 10:10 | comment | added | user142929 | This morning I'm trying to get $$\int_0^1\int_0^1\int_0^1\frac{dxdydz}{1-\frac{3}{\frac{1}{x}+\frac{1}{y}+\frac{1}{z}}}$$ but I cann't find a closed-form (I use a CAS, but the integrals are tedious). I don't know if this integral, or its generalization, is in the literature. My motivation was to do variants of an integral representation for the Apéry's constant that involves the quantity $xyz$ in the denominator, thus the geometric mean $(x^3y^3z^3)^{1/3}$. Feel free to try yourself variants for different combinations of generalized means (the example that I evoke is using the harmonic mean) | |
| Aug 10, 2010 at 19:29 | answer | added | Menny | timeline score: 2 | |
| Jul 6, 2010 at 19:58 | answer | added | Daniel Miller | timeline score: 4 | |
| Jun 4, 2010 at 0:23 | answer | added | Andrey Rekalo | timeline score: 1 | |
| Jun 3, 2010 at 14:25 | answer | added | David Bar Moshe | timeline score: 1 | |
| Jun 3, 2010 at 3:25 | answer | added | David Hansen | timeline score: 5 | |
| Jun 2, 2010 at 23:08 | answer | added | Wadim Zudilin | timeline score: 7 | |
| Jun 2, 2010 at 22:16 | answer | added | engelbrekt | timeline score: 26 | |
| Jun 2, 2010 at 21:05 | answer | added | José Hdz. Stgo. | timeline score: 5 | |
| Jun 2, 2010 at 20:42 | answer | added | Will Jagy | timeline score: 9 | |
| Jun 2, 2010 at 19:12 | answer | added | Charles Matthews | timeline score: 7 | |
| Jun 2, 2010 at 19:06 | comment | added | Pandora | I mean the latter (a multivariable calculus course for engineers). | |
| Jun 2, 2010 at 18:56 | answer | added | Andrey Rekalo | timeline score: 7 | |
| Jun 2, 2010 at 18:38 | answer | added | Xandi Tuni | timeline score: 18 | |
| Jun 2, 2010 at 18:16 | comment | added | Marty | Just since terminology differs in different countries: when you say "second semester analysis students", do you mean math concentrators at a university, taking a rigorous (proof-based) analysis sequence? Or do you mean students taking a multivariable calculus course (learning computational skills with Greens/Stokes theorem, etc.)? | |
| Jun 2, 2010 at 17:30 | history | asked | Pandora | CC BY-SA 2.5 |