2.2 Accumulated area function

Applet explorations

1) The point labelled ‘Area’ tracks the accumulated area between points A and B. What happens to the graph of this area function as you move point B? What happens to the graph of this area function as you move point A? Why? 2) What happens when A is at -2 and B is at 2? Why? 3) Does this graph match your prediction from activity 2.1 (Intro to integration)? 4) Change the function (just type your new function into the box) and try to predict the graph of the new area function. 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?