Question

On the closed-form of the triple integral $\int_0^\infty\int_0^\infty\int_0^\infty\frac1{xyz\left(x+y+z+1/x+1/y+1/z\right)^2}\rm{dx\,dy\,dz}$

score 216 · Answer 1 · 2026-04-17 06:07:43

216

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On the closed-form of the triple integral $\int_0^\infty\int_0^\infty\int_0^\infty\frac1{xyz\left(x+y+z+1/x+1/y+1/z\right)^2}\rm{dx\,dy\,dz}$

Published on 17 Apr 2026 - 6:07

score 79 · Answer 2 · 2026-04-29 12:53:22

79

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123

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List Question

On the closed-form of the triple integral $\int_0^\infty\int_0^\infty\int_0^\infty\frac1{xyz\left(x+y+z+1/x+1/y+1/z\right)^2}\rm{dx\,dy\,dz}$

An infinite family of BBP type formulas for Gieseking's constant $\kappa = \rm{Cl}_2\left(\frac\pi3\right)$?

Mathematics of war references

Conjectured formula for the Fabius function

A conjectured continued fraction involving non-polynomial patterns

The closed-form solution of the family $\sum_{n=1}^{\infty} \sum_{m=1}^{\infty} \frac{1}{nm(pn+m)}$?

How many times should I perform an experiment to get a high level of accuracy?

The optimal way of improving fluency in elementary maths techniques, whilst holding a 9-5 job?

Writing computer code in a mathematics paper.

Sum of Digit squares

Types of graphs for this

Maximum likelihood with Bernoulli trials: what to do if there are no successes?

Computer Algebra Systems for Experimental Mathematics (especially Integer Relations with PSLQ)

My data is not normally distributed: what can I do to estimate a tail probability?

Identity for frequency of integers with smallest prime(n) divisor

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