| Skill
| Type
| Description
| Source
|
| 13.1 Basic Concepts of Integration |
Workbook |
Evaluate simple integrals by reversing the process of differentiation + use a table of integrals + explain the need for a constant of integration when finding indefinite integrals + use the rules for finding integrals of sums of functions and constant m |
HELM |
| Integration Using A Table of Anti-Derivatives |
Booklet |
We may regard integration as the reverse of differentiation. So if we have a table of derivatives, we can read it backwards as a table of anti-derivatives. When we do this, we often need to deal with constants which arise in the process of differentiation |
MathsCentre |
| 13.2 Definite Integrals |
Workbook |
Find simple definite integrals + handle some integrals involving an infinite limit of integration |
HELM |
| Integration As the Reverse of Differentiation |
Booklet |
This unit explain integration as the reverse of differentiation |
MathCentre |
| Table of Integrals |
Worksheet |
This leaflet provides a table of integrals of common functions |
MathsCentre |
| Integration 1 |
Worksheet |
On completion of this worksheet you should be able to integrate simple functions |
Coventry University |
| Finding Areas By Integration |
Booklet |
This unit looks at how to calculate the area bounded by a curve using integration |
MathsCentre |
| 13.6 Integration of Trigonometric Functions |
Workbook |
Use trigonometric identities to write integrands in alternative forms to enable them to be integrated |
HELM |
| Linearity Rules of Integration |
Worksheet |
This leaflet explains how to integrate the sum of two functions, and constant multiples of functions, using 'linearity rules' |
MathsCentre |
| Integration As the Reverse of Differentiation |
Worksheet |
Integration is introduced here as the reverse of differentiation |
MathsCentre |
| Volumes of Solids of Revolution |
Booklet |
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 |
MathsCentre |
| Integrating constants |
MiniClip |
Integrating constants |
Leeds University |
| Integrating powers of x |
MiniClip |
Integrating powers of x |
Leeds University |
| Integration as the reverse of differentiation |
Video - 34 mins |
Integration can be seen as differentiation in reverse; that is we start with a given function f(x), and ask which functions,F(x), would have f(x) as their derivative. The result is called an indefinite integral. A definite integral can be obtained by subs |
MathTutor |
| Integration using a table of anti-derivatives |
Video - 15 mins |
Integration may be regarded as the reverse of differentiation, so a table of derivatives can be read backwards as a table of anti-derivatives. The final result for an indefinite integral must, however, include an arbitrary constant. |
MathTutor |
