List

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
problem

Integration matcher

Age
16 to 18
Challenge level
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Can you match the charts of these functions to the charts of their integrals?
Curved square
problem

Curved square

Age
16 to 18
Challenge level
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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?
problem

What's your mean?

Age
16 to 18
Challenge level
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Can you work out the means of these distributions using numerical methods?
Brimful
problem

Brimful

Age
16 to 18
Challenge level
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Can you find the volumes of the mathematical vessels?