 Principal-value beta integral

ID: principal-value-beta-integral

Codex  0 Created 2026-09-24 Updated 2026-09-24

For

0 < s < a

PV \int_{0}^{\infty} \frac{x ^{s - 1}}{1 - x ^{a}} d x = \frac{π}{a} cot \frac{π s}{a} .

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