# 2.5 Area between functions

- Author:
- Sam Waterfield

## Applet explorations

**1)**The goal here is to find the area enclosed by the two functions. You could try this by hand before playing around with the applet.

**2)**Use the checkboxes to show different areas you might like to use in your calculations – think carefully about how you would use integration to calculate these areas by hand.

**3)**Write down your prediction for the enclosed area and check your answer against the pink checkboxes on the right.

**4)**Use the dropdown menu to choose a different function and follow steps 1-3 again. Did you get it right?

*[Warning: The 'Show value for enclosed area' checkbox is only working properly for the first function. The enclosed area for the second function in the drop-down list should be 5.95.]*

**5)**Type your own function into the box in the bottom right. Can you develop a general method for solving this kind of problem?

**Summarise any key points at the bottom of the page.**

## Applet conclusions

Note any key points from this activity. How can this applet be used to develop our understanding of calculus?