# Simple applications e.g. finding areas and volumes resources

### Facts & Formulae Leaflets (1)

Integration for Economics and Business Studies

Overview of the rules of integration and their applications in Economics and Business Studies. This leaflet has been contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).

### Quick Reference (1)

Evaluating definite integrals

This leaflet explains what is meant by a definite integral and how it can be evaluated. (Engineering Maths First Aid Kit 8.9)

### Teach Yourself (2)

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.

### Video (2)

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

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