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Integration that leads to log functions 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

Staff Resources (1)

Resource type Maths EG Teacher Interface
The teacher interface for Maths EG which may be used for computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University. Teachers need to register (top right of screen) and thereafter login to use the system, after which they may use it to compose their own tests by selecting (specifically or randomly) questions from the entire database of questions. Instructions are available from the title page.

Teach Yourself (1)

Resource type Integration that leads to logarithms
The derivative of ln x is 1/x. As a consequence, if we reverse the process, the integral of 1/x is ln x+c. In this unit we generalise this result and see how a wide variety of integrals result in logarithm functions.

Test Yourself (2)

Resource type Diagnostic Test - Integration that leads to log functions
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Exercise - Integration that leads to log functions
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 (1)

Resource type Integration that leads to log functions
This unit is concerned with integrals which lead to logarithms. Whenever the integrand is fraction with denominator f(x) and numerator f'(x) the result of integrating is the natural logarithm of f(x). This unit illustrates this behaviour with several examples. (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.

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