The Ising-class integral C5

Find a closed form for the Ising-class integral C5 = (4/15)∫ t K0(t)^5 dt ≈ 0.6657598002 of Bailey, Borwein and Crandall.

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1	{
2	"domain": "physics-astronomy",
3	"topics": [
4	"mathematical-physics",
5	"statistical-mechanics",
6	"analysis"
7	],
8	"type": "construction",
9	"source": {
10	"key": "horizonmath",
11	"name": "HorizonMath",
12	"url": "https://github.com/ewang26/HorizonMath/blob/4ef0b61a8a6d4c5ded661fab7c2e896af84abe6e/data/problems_full.json#L572-L582",
13	"id": "c5_ising_susceptibility",
14	"curator": "Erik Y. Wang, Sumeet R. Motwani et al.",
15	"poser": "David H. Bailey, Jonathan M. Borwein and Richard E. Crandall",
16	"status": "open",
17	"as_of": "2026-10-20",
18	"catalog": "0521c19bbd38"
19	},
20	"review": true,
21	"approval": "first-time"
22	}