This interactive figure allows exploration of improper integrals of Type II. These are integrals where the function becomes infinite at a point within the interval of integration. You can move the slider to get some example [color=#0000ff]functions [i]f[/i][/color], or you can enter your own (but the asymptote won't update on your entry). The [color=#38761d]green points[/color] can be moved to change the limits of integration or you can enter [math]a[/math] and [math]b[/math] directly. Depending on where the vertical asymptote is, either the leftmost point or the rightmost point will be approaching a vertical asymptote. You can make a determination as to whether the [color=#38761d]integral [/color]seems to be approaching a limit or not.

[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]