Enter any [b]UPPER FUNCTION[/b] (labeled [b]upper(x)[/b]).[br]Enter any [b]LOWER FUNCTION[/b] (labeled [b]lower(x)[/b]).[br]Enter your [b]lower and upper limits of integration[/b] ([b]"a"[/b] and [b]"b"[/b], respectively).[br][br]Slide the [b]FILLING[/b] slider all the way to the left. [br]For this solid, note how cross sections parallel to the yAxis are [color=#ff7700][b]rectangles[/b][/color].[br]One side of this [color=#ff7700][b]rectangle[/b][/color] (the base) has length = upper(x) - lower(x). [br]The other side (height) of this [b][color=#ff7700]rectangle[/color][/b] has length = w * (upper(x) - lower(x)). [br][br]Thus, the height of any rectangular cross section = w * its base length. [br]You can alter the value of [b]w[/b] using the (vertical) [b]w slider[/b]. [br][br][br]You can move this [color=#ff7700][b]rectangle[/b][/color] by sliding the [b]MoveMe[/b] slider OR by dragging the [b]WHITE POINT [/b]along the xAxis. [br][br]You can modify any of these parameters (functions, limits) at any time. [br][br][color=#1e84cc][b]To explore in augmented reality, see the directions below this applet. [/b][/color]

1) Open up GeoGebra 3D app on your device. [br][br]2) Go to the [b]MENU [/b](horizontal bars) in the upper left corner. Select [b]OPEN[/b]. [br] In the Search GeoGebra Resources input box, type [b]mhnnfubg[/b][br] (Note this is the resource ID = last 8 digits of the URL for this resource.)[br][br]3) In the resource that uploads, zoom in/out if needed.[br]  You can alter the functions [b]upper(x), lower(x).[/b] [br] You can also move sliders [b]a, b, w, MoveMe, and Filling[/b].[br] (Be sure to leave everything else alone.)