Integration as Area

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Integration as area

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 link

Integration Matcher 

Stage: 5 Challenge Level: Challenge Level:1

Match the charts of these functions to the charts of their integrals.

Curved Square link

Curved Square 

Stage: 5 Challenge Level: Challenge Level:1

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? link

What's Your Mean? 

Stage: 5 Challenge Level: Challenge Level:1

Can you work out the means of these distributions using numerical methods?

Brimful link

Brimful 

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find the volumes of the mathematical vessels?