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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Integration as Area

### Integration Matcher

### Curved Square

### What's Your Mean?

### Brimful

## You may also like

### Making Sense of Statistics

### Visualising and Representing Complex Numbers

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Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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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.

Age 16 to 18

Challenge Level

Can you match the charts of these functions to the charts of their integrals?

Age 16 to 18

Challenge Level

Can you find the area of the central part of this shape? Can you do it in more than one way?

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

Can you find the volumes of the mathematical vessels?

This collection of problems has been put together to help you to explore and understand important ideas in statistics.

What are complex numbers, and how can we represent them?