Integration can be conceptualised in several different ways, including limits of sums, the inverse of differentiation, and in terms of area under curves. These resources will help you to understand integration as area, and to see some of the different applications it offers.
![Integration matcher](/sites/default/files/styles/medium/public/thumbnails/content-id-6412-icon.jpg?itok=L5Y0haGg)
problem
Integration matcher
Can you match the charts of these functions to the charts of their integrals?
![Curved square](/sites/default/files/styles/medium/public/thumbnails/content-id-6328-icon.png?itok=ChiCsYs5)
problem
Curved square
Can you find the area of the central part of this shape? Can you do it in more than one way?
![What's your mean?](/sites/default/files/styles/medium/public/thumbnails/content-id-6411-icon.jpg?itok=03KmE4tu)
problem
What's your mean?
Can you work out the means of these distributions using numerical
methods?
![Brimful](/sites/default/files/styles/medium/public/thumbnails/content-id-6426-icon.jpg?itok=-Y3AUuAz)
![Perimeter, Area and Volume - Stage 4](/sites/default/files/styles/medium/public/thumbnails/content-id-8489-icon.png?itok=4tdZnbnk)
list
Perimeter, Area and Volume - Stage 4
Working on these Stage 4 problems will help you develop a better understanding of perimeter, area and volume.
![Differentiation and Integration](/sites/default/files/styles/medium/public/thumbnails/content-id-8590-icon.png?itok=wYf0T60s)
![Differentiation and Integration A2](/sites/default/files/styles/medium/public/thumbnails/content-id-8591-icon.png?itok=o03J9-a8)