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Copy of Arc Length to Surface of Revolution: Calculus

This applet dynamically illustrates how rotating an arc length of a piece of the graph of a function , from to , about an axis, generates a surface of revolution. For simplicity, the axis of revolution here is the x-axis. You can alter the values of = lower limit of integration = upper limit of integration = number of equal intervals into which the interval is divided. How does increasing the value of change the appearance of the surface of revolution?

Quick (Silent) Demo