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

Unit 8

Bring any questions you have on this topic!

BL

JL

Jingxuan L

0

9/20

Ai

Calculus · series session

#### Applications of integration

In this session, we will be covering some more applications of integrals with AP Calculus FRQs.

BL

AS

Advait S

0

9/15

Ai

Calculus · series session

#### Applications of integration

In this session, we will be covering some more applications of integrals, and then we will wrap up our session with final tips and encouragement for next year.

BL

AS

Advait S

0

9/15

Ai

Calculus · series session

#### Applications of integration

Unit 8 of the AP Calculus AB and BC course. In this session, we will learn about finding area and volume using integration, arc length, and motion problems. This is the last unit of the AP Calculus AB course.

SJ

Sahasra J

0

4/20

Ai

Calculus · series session

#### Applications of integration

We will solve problems from Unit 8 of the AP Calculus AB and BC course.

SJ

Sahasra J

0

4/20

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