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

Stage: 5 Challenge Level:

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

Curved Square

Stage: 5 Challenge Level:

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?

Stage: 5 Challenge Level:

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

Brimful

Stage: 5 Challenge Level:

Can you find the volumes of the mathematical vessels?