2.5 Area between functions

Applet explorations
[b]1) [/b]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.[br][br][b]2)[/b] 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.[br][br][b]3)[/b] Write down your prediction for the enclosed area and check your answer against the pink checkboxes on the right.[br][br][b]4)[/b] Use the dropdown menu to choose a different function and follow steps 1-3 again. Did you get it right? [br][i][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.][/i][br][br][b]5)[/b] Type your own function into the box in the bottom right. Can you develop a general method for solving this kind of problem?[br][br][b]Summarise any key points at the bottom of the page.[/b]
Applet conclusions
Note any key points from this activity. How can this applet be used to develop our understanding of calculus?
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Information: 2.5 Area between functions