Graphically investigate the function

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

The following is code to construct an animation for such an investigation using
the program **Maple**.

> **with(plots):**

> **F:=x->int(sin(t),t=a..x);**

> **animate({sin(x),F(x)}, x=0..2*Pi, a=0..2*Pi, frames=50, color=blue);**

[Press here to see animation] |