Graphically investigate the function

with various values for **a** and **x** between **0** and **2p**.

*Visualization:*

Use the following JAVA applet.

** Instructions**:
The blue graph is the graph of the function

- Change
**a**: - When the options
**Choose a**or**Draw F**are chosen, then you can change the value of**a**by dragging the mouse across the graph or by clicking the left mouse button while the mouse is on the graph. - Change
**x**: - To change the value of
**x**, click the mouse on**Choose x**and then drag the mouse across the graph or click the left mouse button while the mouse is on the graph. The green dot indicates the point**(x,0)**and the red dot indicates the point**(x, F(x))**.**F(x)**, the**y**-coordinate of the red dot, is the area which is shown in blue. The graph of**F**between**t=a**and**t=x**is drawn in red. - Draw
**F**: - The graph of
**F**between**x=0**and**x=2p**is drawn in red. You can see the effects of changing**a**on the graph of**F**by dragging the mouse across the graph or by clicking the left mouse button while the mouse is on the graph.