Applications of Integration
In this module, we will cover the various applications of integration using the rules established in the previous module.
Definite Integration and FTOC II
In this video, we answer the question of how to find the area under a curve. We also consider a major theorem in calculus.
FTOC I Examples
Here we consider a few complex applications of the first part of the fundamental theorem of calculus.
Average Value Theorem
In this video, we cover the average value theorem, a theorem that occurs quite frequently on AP exams.
Areas Between Curves
Here we consider areas between two curves and how to obtain an expression for these areas.
Volumes of Solids of Revolution Introduction
In this video, I introduce a topic that will be central to the next few videos: Volumes of Solids of Revolution.
Volumes of Solids of Revolution: Rings
In this video, we cover an example of volumes of solids of revolution involving rings.
Volumes of Solids of Revolution: A Different Axis
In this video, we cover another scenario of volumes of solids of revolution.
Volumes of Solids of Revolution Example
In this video, we cover an example of a question involving volumes of solids of revolution.
Here we cover a concept tied into volumes of solids: cross sections. The picture used is from epsilon-delta.org.
FRQ 2009 #4
In this video, we cover an FRQ from the 2009 AP Calculus AB exam. The question focuses on cross sections and area.