Volume by Integration Summary

Volumes of Rotation

Summary

integration is useful for finding volumes, especially when a curve or part of a curve is rotated around either the x-axis or the y-axis. in each case a definite integral is evaluated to find the volume of the object created.

Key Skills

find the volume of revolution created by rotation around either the x-axis or the y-axis.

Vocabulary

axis of symmetry, pyramid, cross-section.