# Arc Length to Surface of Revolution: Calculus

- Author:
- Tim Brzezinski

- Topic:
- Calculus, Definite Integral, Surface

This applet dynamically illustrates how rotating an , from to , about an axis, generates a = 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

**arc length**of a piece of the graph of a function**surface of revolution**. For simplicity, the axis of revolution here is the*x*-axis. You can alter the values of**surface of revolution**?**To explore this in Augmented Reality, see directions below this interactive figure.**## TO EXPLORE IN AUGMENTED REALITY:

1) Open up GeoGebra 3D app on your device.
2) Select the MENU (3 horizontal bars upper left).
3) Select .

**OPEN**. Under "Search", type**dbska9aq**4) Select the 1 option that appears. 5) You can alter function**f**, lower limit of integration**a**, upper limit of integration**b**, and**n**= number of intervals where each