Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-28T14:46:41.780Z Has data issue: false hasContentIssue false

The evaluation of integrals of the form

Published online by Cambridge University Press:  24 October 2008

E. T. Goodwin
Affiliation:
Mathematics Division, National Physical Laboratory, Teddington, Middlesex

Extract

It is well known to computers that the approximate formula

yields a surprising degree of accuracy even for quite large values of the interval h; for example, if h = 1 the error is one unit in the fourth decimal.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1949

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* See, for example, Milne-Thomson, L. M., The calculus of finite differences (Macmillan, 1933).Google Scholar

* Turing, A. M., ‘A method for the calculation of the zeta-function’, Proc. London Math. Soc. (2), 48 (1943), 180.Google Scholar