CHAPTER SUMMARY
In this chapter, we have reviewed how to find areas and volumes using
definite integrals. We’ve looked at area under a curve and between two
curves. We’ve reviewed volumes of solids with known cross sections,
and the methods of disks and washers for finding volumes of solids of
revolution.
For BC Calculus students, we’ve applied these techniques to
parametrically defined functions and polar curves and added methods
for finding lengths of arc. We’ve also looked at improper integrals and
tests for determining convergence and divergence.‡No question requiring the use of shells will appear on the AP exam.