Lebl-Basic-Analysis-I · Problem 5.3.11

The Riemann Integral

Mathematics · riemann-integrability

Problem

a) Show that f(x):=sin⁡(1/x)f(x) := \sin(1/x) is integrable on every interval (you can define f(0)f(0) to be anything). b) Compute ∫−11sin⁡(1/x) dx\int_{-1}^1 \sin(1/x)\,dx (mind the discontinuity).

Related theory

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