Problem:

Graphically investigate the function

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


Visualization:

The following is an animation of such an investigation using the program Microcalc.


[Press here to see animation again!]

The animation shows the area bounded by the thin yellow line which is the graph of y = sin(t), the t-axis, and the line t=x for various increasing values of x. The thick yellow line is the graph of y = F(x), the area function.