The [b]sine-integral function[/b] is defined as [br][center][math]Si(x)=\int_0^x\frac{\sin t}{t}dt[/math][/center][br]This interactive figure allows you to see what happens to [math]Si\left(x\right)[/math] as [math]x\to\infty[/math]. You can drag the green point on the [math]x[/math]-axis to increase [math]x[/math] to see the value of this function for various values of [math]x[/math] and to produce a plot of this function. [br][br]You can drag the slider for [i][math]n[/math][/i], which sets the maximum [math]x[/math]-value on the axis, to allow for a wider window to let [math]x[/math] get larger and larger.
[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]