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.
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Calculus · series session
Applications of integration
Cross sections with integration
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Calculus · series session
Applications of integration
We'll go over bounded areas with integrals.
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Calculus · session
AP Calculus Session for Jai P
We'll go through finding bounded areas with integrals
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Calculus · session
2024 AP Calculus AB FRQ
We will be solving the 2024 AP Calculus AB FRQ questions, viewing scoring guidelines, and discussing mathematical concepts with reasoning.
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Cencen W
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Calculus · series session
Applications of integration
Disc and washer methods, BC: arc length
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Calculus · series session
Applications of integration
Average volume, area, volume, etc.
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Calculus · series session
Applications of integration
Washer method intro (dx & dy)
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Calculus · series session
Applications of integration
Disc method harder problems
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Calculus · series session
Applications of integration
asdfwa
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Calculus · series session
Applications of integration
Further cross section practice as needed; if not, intro to disc method
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Calculus · series session
Applications of integration
Volume with cross sections intro (types of shapes used) (w.r.t dx & dy)
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Calculus · series session
Applications of integration
1. Physical interpretations of the integral and the average value of a function over an interval
2. Finding the area between curves expressed as functions of y
3. Finding the area between curves that intersect at more than two points
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Calculus · series session
Applications of integration
Area between multiple curves frq practice
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Calculus · series session
Applications of integration
More practice with contextual problems if needed; Finding area between 2 curves (with respect to dx & dy)
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Calculus · series session
Applications of integration
Areas and volumes with integrals!
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Luca G
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Calculus · series session
Applications of integration
Practicing frq rate of change problems with integrals,
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Calculus · series session
Applications of integration
Position, Velocity, Acceleration continued
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Calculus · series session
Applications of integration
Position, Velocity, Acceleration
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Calculus · series session
Applications of integration
Unit 8 of the AP Calculus BC Course.
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Calculus · series session
Applications of integration
Integral Applications: Accumulation
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Calculus · session
AP Calculus Session for Kevin R
We'll go over unit 8, applications of integrals in this session.
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Calculus · session
Unit 8 Review for Kevin R
We'll review Unit 8, applications of integration on Khan Academy.
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Calculus · session
Volume with Cross-Sections
This session is intended for Ashwini K, but anyone else is welcome to join! We will cover how to find the volume of objects using square, semi-circle, and triangle shaped cross-sections.
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Calculus · series session
Applications of integration
PLEASE BRING YOUR GRAPHING CALCULATORS! (TI-84s preferred!)
Topics covered (80m):
21. Volume with washer method: revolving around x- or y-axis
22. Volume with washer method: revolving around other axes
23. The arc length of a smooth, planar curve and distance traveled
24. Calculator-active practice
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Jose Roberto Cossich G
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Session ended.
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