 Sinc-squared integral

ID: sinc-squared-integral

Codex  0 Created 2026-09-24 Updated 2026-10-03

With the standard Fourier convention, Plancherel theorem applied to

1_{[- 1, 1]}

gives

\int_{- \infty}^{\infty} (\frac{s i n x}{x})^{2} d x = π, \int_{0}^{\infty} (\frac{s i n x}{x})^{2} d x = \frac{π}{2} .

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