The Area Function

HELP
   

The left applet shows
x
a
(t) dt
represented as an area. Carefully notice how the variables a, x, and t relate to each other -- we are using a t-axis, not an x-axis! By selecting "Show Trace" on the right applet, you can see the area graphed as x (or a) changes. Notice that the right applet has an x-axis. To clear the drawing on the right, unselect the check box.

Explore

  1. Put a = 1 and move x slowly to see what graph emerges on the right. How does the x-value on the left applet relate to the x-value on the right applet?
  2. Put a = 0 and repeat the above process. How does this new graph compare to the one you made before?