Calculus
Applications of integration
- Finding the average value of a function on an interval
- Connecting position, velocity, and acceleration functions using integrals
- Using accumulation functions and definite integrals in applied contexts
- Finding the area between curves expressed as functions of x
- Finding the area between curves expressed as functions of y
- Finding the area between curves that intersect at more than two points
- Volumes with cross sections: squares and rectangles
- Volumes with cross sections: triangles and semicircles
- Volume with disc method: revolving around x- or y-axis
- Volume with disc method: revolving around other axes
- Volume with washer method: revolving around x- or y-axis
- Volume with washer method: revolving around other axes
- The arc length of a smooth, planar curve and distance traveled
- Calculator-active practice
Register for a session to review this topic with a small group of learners.
Ai
Calculus · series session
Applications of integration
We'll review the disc method and then maybe go over the washer method as well
SL
JL
Jonathan L
0
1/5
Ai
Calculus · series session
Applications of integration
Today, we will learn how to apply our knowledge of integrals to solve real world problems. How do you find the amount of water in a container given the rate it's going in? How do we find a population given the rate it's growing? These are all questions we will answer today.
BL
NB
Noah B
0
8/30
Ai
Calculus · series session
Applications of integration
Areas in the Plane – Area between curves (Parts 1 & 2);
Volumes (Part 1) - cross sectional volumes
SL
HL
Hyemin L
0
9/30
Ai
Calculus · series session
Applications of integration
Volumes (Part 2) of revolutions
Disk and Washer Method
SL
HL
Hyemin L
0
9/30
That's it for now!
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