Basic Analysis I — Real Analysis · Problem 5.5.4

The Riemann Integral — Jiri Lebl

Mathematics — Real Analysis · improper-integrals-sinc

Problem

Prove ∫−∞∞∣sinc⁡(x)∣ dx=∞.\int_{-\infty}^{\infty} |\operatorname{sinc}(x)| \, dx = \infty. Hint: Again, it is enough to show this on just one side.

Related theory

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