Students

Please select a resource from the list below.

Quick Reference

• Evaluating definite integrals
  This leaflet explains what is meant by a definite integral and how it can be evaluated.

Teach Yourself

• Finding areas by integration
  This unit looks at how to calculate the area bounded by a curve using integration.
• Volumes of solids of revolution
  We sometimes need to calculate the volume of a solid which can be obtained by rotating a curve about the x-axis. There is a straightforward technique which enables this to be done, using integration. This unit will explain how.

Test Yourself

• Diagnostic Test - Integration - Finding volumes
• Diagnostic Test - Integration - Finding areas
• Exercise - Integration - Finding areas
• Exercise - Integration to find volumes

Video

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

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• Finding areas by integration
  Integration can be used to calculate areas. In simple cases, the area is given by a single definite integral. But sometimes the integral gives a negative answer which is minus the area, and in more complicated cases the correct answer can be obtained only by splitting the area into several parts and adding or subtracting the appropriate integrals. (Mathtutor Video Tutorial)
• Volumes of solids of revolution
  We sometimes need to calculate the volume of a solid which can be obtained by rotating a curve about the x-axis. There is a straightforward technique which enables this to be done, using integration. (Mathtutor Video Tutorial)