Applets and Animations for Calculus 2 Simplified

This GIF shows an animation of a graph being rotated about the x-axis to produce a surface of revolution.

Illustrating the Riemann sums approach to the definite integral. 

This animation illustrates how increasing the number of rectangles/subdivisions used in a Riemann sum approximates the area under the curve.

This animation illustrates how increasing the number of trapezoids used in the trapezoidal rule yields a better approximation to the area under the curve.

This applet helps you visualize the area between two curves.

This applet helps you visualize the volume of a solid with known cross-sections.

This applet helps you visualize volumes of solids of revolution via the Disk Method.

This animation illustrates the types of solids of revolutions produced by the Disk Method.

This applet helps you visualize volumes of solids of revolution via the Washer Method.

This applet helps you visualize volumes of solids of revolution via the Shell Method.

This animation illustrates how the Shell Method slices a solid into thin shells.

Illustrating the arc length of a function. 

This animation illustrates increasing the number of line segments used in the Riemann sum approximation to the arc length yields a better estimate of that arc length.

This GIF shows an animation of a graph being rotated about the x-axis to produce a surface of revolution.

This applet helps you visualize the area between two curves.

This animation illustrates how increasing the number of rectangles used in the Riemann sums approach to finding the area between two curves yields increasingly better estimates to that area.

This animation illustrates the Riemann sums approach to volumes by cross sections.

This animation illustrates the Riemann sums approach to the Disk Method.

Use this applet to plot the values of a sequence.

This applet plots the first 10 terms in a Taylor polynomial (red) for a given function (blue).