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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2018/ib/paper-3/15a/c/solution

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Past exam of the mathematics course of the University of Cambridge / 2018 / ib / Paper 3 / 15A / c / Solution by

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

Repeated integration by parts, or the definition of the

m

th distributional derivative, gives

\int_{- \infty}^{\infty} f (x) δ^{(m)} (x) d x = (- 1)^{m} f^{(m)} (0) .

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