In this video, we answer the question of how to find the area under a curve. We also consider a major theorem in calculus.

In this video, we cover a few examples of definite integration.

Here we cover the first part of the fundamental theorem of calculus.

Here we consider a few complex applications of the first part of the fundamental theorem of calculus.

In this video, we cover the average value theorem, a theorem that occurs quite frequently on AP exams.

Here we consider areas between two curves and how to obtain an expression for these areas.

In this video, I introduce a topic that will be central to the next few videos: Volumes of Solids of Revolution.

Here we consider rotating a region about the y-axis.

In this video, we cover an example of volumes of solids of revolution involving rings.

In this video, we cover another scenario of volumes of solids of revolution.

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.

In this video, we cover an FRQ from the 2009 AP Calculus AB exam. The question focuses on cross sections and area.

In this video, we cover a method to solve differential equations relevant to the AP Calculus AB exam.