Students

Please select a resource from the list below.

Teach Yourself

• Integration using partial fractions 1
  Sometimes the integral of an algebraic fraction can be found by first expressing the algebraic fraction as the sum of its partial fractions. In this unit we will illustrate this idea. We will see that it is also necessary to draw upon a wide variety of other techniques such as completing the square, integration by substitution, using standard forms, and so on.
• Integration using partial fractions 2
  In this unit we are going to look at how we can integrate some more algebraic fractions. We shall concentrate on the case where the denominator of the fraction involves an irreducible quadratic factor. The case where all the factors of the denominator are linear has been covered in the first unit on integration using partial fractions.

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 - Integrating Algebraic Fractions 1
• Diagnostic Test - Integrating Algebraic Fractions 2
• Exercise - Integrating algebraic fractions 1
• Exercise - Integrating algebraic fractions 2

Video

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

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• Integrating algebraic fractions (1)
  Sometimes the integral of an algebraic fraction can be found by first expressing the algebraic fraction as the sum of its partial fractions. In this unit we will illustrate this idea. We will see that it is also necessary to draw upon a wide variety of other techniques such as completing the square, integration by substitution, using standard forms, and so on. (Mathtutor Video Tutorial)
• Integrating algebraic fractions (2)
  Sometimes the integral of an algebraic fraction can be found by first expressing the algebraic fraction as the sum of its partial fractions. In this unit we look at the case where the denominator of the fraction involves an irreducible quadratic expression. (Mathtutor Video Tutorial)