This interactive figure allows exploration of improper integrals of Type I. These are integrals with infinite limits of integration. You can move the slider to get some example [color=#0000ff]functions [i]f[/i][/color], or you can enter your own. The [color=#ff0000]red points[/color] can be moved to change the limits of integration. The rightmost point is typically made larger and larger to simulate [math]b\to\infty[/math], and you can use the button to increase the [i][math]x[/math][/i]-axis to the right to allow [i][math]b[/math][/i] to be made larger. You can make a determination as to whether the [color=#38761d]integral [/color]seems to be approaching a limit or not. Sometimes the system can not produce the level of accuracy desired. You can choose to show the system's attempted computed value for the improper integral. If the integral does not converge, the answer may return as "?".

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