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III.—On a Quadrature Formula for Trigonometric Integrals

  • L. N. G. Filon (a1)

1. Integrals of the form where ψ(x) is a function with a limited number of turning-points in the range of integration and k is a constant which may take up large values, frequently occur in investigations in mathematical physics, and their computation by quadratures is often desirable.

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page 44 note * Tables of sin xdx/x have been calculated by Glaisher, J. W. L., in Phil. Trans., 1870, p. 367, up to x = 15. Tables have also been constructed for various greater values of x. See B.A. Report (1927), pp. 245–251, and B.A. Report (1928).

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Proceedings of the Royal Society of Edinburgh
  • ISSN: 0370-1646
  • EISSN: 2059-9153
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh
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