Staff

Please select a resource from the list below.

Quick Reference

• Evaluating definite integrals
  This leaflet explains what is meant by a definite integral and how it can be evaluated.
• Linearity rules of integration
  This leaflet explains how to integrate the sum of two functions, and constant multiples of functions, using 'linearity rules'.
• Table of integrals
  This leaflet provides a table of integrals of common functions.

Teach Yourself

• Integration using a table of anti-derivatives
  We may regard integration as the reverse of differentiation. So if we have a table of derivatives, we can read it backwards as a table of anti-derivatives. When we do this, we often need to deal with constants which arise in the process of differentiation.

Practice & Revision

• Calculus Refresher
  A refresher booklet on Calculus
• Cwrs Gloywi Calcwlws
  A Calculus Refresher. This booklet revises techniques in calculus (differentiation and integration). This is a welsh language version

Test Yourself

• Diagnostic Test - Integration using a table and standard rules
• Exercise - Integration using a table and standard rules

Video

A transcript of each video should be available in the Teach Yourself section above.

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• Integration using a table of anti-derivatives
  We may regard integration as the reverse of differentiation. So if we have a table of derivatives, we can read it backwards as a table of anti-derivatives. When we do this, we often need to deal with constants which arise in the process of differentiation. (Mathtutor Video Tutorial)