How it works ?
Enter any UPPER FUNCTION (labeled upper(x)).
Enter any LOWER FUNCTION (labeled lower(x)).
Enter your lower and upper limits of integration (“a” and “b”, respectively).
Slide the FILLING slider all the way to the left. For this solid, note how cross sections parallel to the yAxis are ellipses with its entire minor axis lying in the base. This minor axis is parallel to the yAxis and has length = upper(x) – lower(x).
In addition, you can alter the eccentricity of this ellipse by using the ecc slider. Here 0<=ecc<=1.
You can move this ellipse by sliding the MoveMe slider.
You can modify any of these parameters (functions, limits) at any time.
To explore in augmented reality, see the directions below this applet.