Staff

Please select a resource from the list below.

Teach Yourself

• 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.

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 that leads to log functions
• Exercise - Integration that leads to log functions

Video

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

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• 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)