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Integration - Integration by substitution

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Quick Reference

  • Integration by substitution
    Some integrals can be evaluated by making an appropriate substitution to change the variable. This leaflet explains how this can be done.

Teach Yourself

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

Video

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  • Integration by substitution
    There are occasions when it is possible to perform an apparently difficult piece of integration by first making a substitution. This has the effect of changing the variable and the integrand. When dealing with definite integrals, the limits of integration can also change. In this unit we will meet several examples of integrals where it is appropriate to make a substitution. (Mathtutor Video Tutorial)