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
Defining Average and Instantaneous Rates of Change at a Point (day 1)
SL
AM
GL
JL
Jeremy L and Alex M
0
3/30
Ai
Calculus · series session
Applications of integration
Defining Average and Instantaneous Rates of Change at a Point (day 2)
SL
AM
GL
JL
Jeremy L and Alex M
0
3/30
Ai
Calculus · series session
Applications of integration
Defining the Derivative of a Function and Using Derivative Notation (day 2)
SL
AM
GL
JL
Jeremy L and Alex M
0
3/30
Ai
Calculus · series session
Applications of integration
Estimating Derivatives of a Function at a Point
SL
AM
GL
JL
Jeremy L and Alex M
0
3/30
Ai
Calculus · series session
Applications of integration
Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist
SL
AM
GL
JL
Jeremy L and Alex M
0
3/30
Ai
Calculus · series session
Applications of integration
We will look at applications of integration, applying them to real world scenarios, similar to what we did with derivatives (units four and five)!
IS
SF
Sam F and Isahi S
0
14/20
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