Applications of Integration
We study some important application of integrations: computing volumes of a variety of complicated three-dimensional objects, computing arc length and surface area, and finding centers of mass.
The Disk and Washer Methods
We practice setting up calculations related to the disk and washer methods.
Synthesis: Choose Your Method
We practice choosing a method for computing volume when none is specified.
We learn various techniques for integrating certain combinations of trigonometric functions.
Orders of Growth
We study the use of orders of growth to compute limits, in preparation for improper integrals.
Series Comparison Tests
We study the direct and limit comparison theorems for infinite series and practice their application.
The Ratio and Root Tests
We study the ratio and root tests for infinite series and practice their application.
Taylor Series Applications
We study the use of Taylor series for evaluating infinite series and limits.