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Integration by substitution resources

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Practice & Revision (2)

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

Quick Reference (1)

Resource type 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. (Engineering Maths First Aid Kit 8.11)

Teach Yourself (1)

Resource type Integration by substitution
This unit explain integration by substitution.

Test Yourself (2)

Resource type Diagnostic test in basic calculus - Numbas
12 calculus questions, differentiation and integration. Useful for self diagnosis. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Indefinite integration by substitution - Numbas
5 questions on using substitution to find indefinite integrals. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.

Video (1)

Resource type 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) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Video with captions which require edits (1)

Resource type 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) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.