6.2 Integral Applications
Volume Application: Overview
Definition of Volume
∑ ∫ , where is the
of the cross-section of the solid of any shape, the of the solid, is any point in each of
[ ] [ ]
the subintervals in a plane perpendicular to either the -axis or -axis over the interval .
The key is finding the right expression for the of the solid formed as a result of rotating the
function abut a line.
When the shaded area between two functions and are rotated about a line, a washer is
formed. Washer means the cross section o