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

### That's it for now!

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