Hostname: page-component-745bb68f8f-hvd4g Total loading time: 0 Render date: 2025-01-25T04:13:31.599Z Has data issue: false hasContentIssue false
  • English
  • Français

A “simple” integral and the repeated logarithm

Published online by Cambridge University Press:  01 August 2016

Colin Atkinson
Colin Atkinson*
Affiliation:
Department of Mathematics, Imperial College, London SW7 2BZ
Get access Rights & Permissions [Opens in a new window]

Extract

A question which I like to ask sixth-formers at their interview for University is to evaluate

not worrying for the moment about the behaviour at x = 0 or x = 1, or the limits of the integral. This question is difficult enough for some students but on a good day one can lead them through to the correct solution (log|log x|) by various suggestions like “try a substitution” (x = et) or “do you know a rule for when the top is the derivative of the bottom?”

Type
Research Article
Information
The Mathematical Gazette , Volume 74 , Issue 467 , March 1990 , pp. 33 - 39
Copyright
Copyright © The Mathematical Association 1990

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.)