Unit 5
Intro
Integration has a wide variety of applications.
The unit starts with using integration to find the area between graphs of functions.
From there, we move into 3-D extensions of graphs to find the volume of solids of revolution using Disk and Washer Method.
Integration can also be applied to find the average value of a function, analyze the physics of basic rectilinear motion, analyze slope fields, and exponential growth and decay.
Unit 5 Podcast (coming soon)
5.1 Antiderivatives and Graphing
Expressed as Functions of x
Expressed as Functions of y
Area Between Curves that Intersect at More than Two Points
Volumes with Cross Sections
Squares
Rectangles
Triangles
equilateral
isosceles
right
Semicircles
Volume with Disc Method
Revolving Around the x- or y-axis
Revolving Around Other Axes
Volume with Washer Method
Revolving Around the x- or y-axis
Revolving Around Other Axes
Distance Traveled
Arc Length of Curves Given by Parametric Equations
5.1.5 Area of a Region Bounded by Two Polar Curves**
5.2 Modeling with Antiderivatives
Differential Equations
Exponential Models with Differential Equations
Accumulation Functions in Applied Contexts
Videos
5.1.1 Area Between Graph of Functions
5.1.2 Average Value of a Function
5.1.3 Volume
5.1.4 Arc Length**
coming soon...
5.2.1 Modeling
coming soon...
5.2.2 Straight-Line Motion
coming soon...