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
AP Calc Unit 8: Applications of integration
Including a small presentation with key concepts + unit formula sheet + practice problems
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Diana M
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Calculus · series session
Applications of integration
applications of integration continued (frq problems)
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Dylan P
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Calculus · series session
Applications of integration
applying integration to word problems
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Dylan P
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Calculus · series session
Applications of integration
A review of integration rules and applications. We will also review differential equations and applications of the integral.
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Shawn C
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Calculus · series session
Applications of integration
Final session to wrap up integration
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Keira L
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Calculus · series session
Applications of integration
Introduction to Differential Equations
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Keira L
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Ai
Calculus · session
Review of Integral Units (6, 7, & 8) With a Focus on Unit 8
First, I will do a quick review of important concepts from Units 6 and 7 and test your knowledge from those units at the start of the session to plan out the rest of it better in order to fulfill your specific needs. Then, we will go through Unit 8 together to solve your own problems and Khan Academy problem sets!
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Hana N
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Ai
Calculus · series session
Applications of integration
We will cover volumes with integrals
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Keira L
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Ai
Calculus · series session
Applications of integration
We will cover areas with integrals
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Keira L
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Ai
Calculus · series session
Applications of integration
This session is subject to change topics, based on learner feedback.
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Keira L
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Calculus · series session
Applications of integration
In this session, we will go over unit 8, which is applications of integration. In this unit, we will discuss the various applications of integration such as finding the average value of a function, particle motion, cross sections, and revolutions using the disk and washer method! In this session, we will not go over any AP Calculus BC topics.
Note: this session will be a little longer (120 minutes)
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Hunter N
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Ai
Calculus · series session
Applications of integration
Covers volumes of solids formed by rotating or taking cross-sections of curves.
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Pranav I
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Ai
Calculus · series session
Applications of integration
Covers average value of a function, particle motion, and area between two curves.
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Pranav I
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Ai
Calculus · series session
Applications of integration
In this session, we will go over unit 8, which is applications of integration. In this unit, we will discuss the various applications of integration such as finding the average value of a function, particle motion, cross sections, and revolutions using the disk and washer method! In this session, we will not go over any AP Calculus BC topics.
Note: this session will be a little longer (120 minutes)
GL
HN
Hunter N
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Session ended.
Ai
Calculus · series session
Applications of integration
We will explore many applications of integration, from finding the area between curves to determining volume with cross-sections, the disc method, and the washer method.
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Eric Q
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Ai
Calculus · series session
Applications of integration
In this session we'll learn about The actual applications on integrations (Part 2) in real life and that how we use it everyday without even knowing. Friendly Reminder - This session welcomes learners who already have completed Pre-Calculus and are now heading to Calculus and want to get a leg up on their classmates to have a brief overview and knowledge to what you will learn in AP Calc AB / BC.
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Maharsh J
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Ai
Calculus · series session
Applications of integration
In this session we'll learn about The actual applications on integrations in real life and that how we use it everyday without even knowing. Friendly Reminder - This session welcomes learners who already have completed Pre-Calculus and are now heading to Calculus and want to get a leg up on their classmates to have a brief overview and knowledge to what you will learn in AP Calc AB / BC.
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Maharsh J
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Calculus · session
Applications of integration
This session was made for Emma, but anyone is welcome to join!
We'll be doing a quick review on the following topics:
- End of differential equations
- Exponential growth/decay
- Riemann Sums
- Definite Integrals
- Properties of Definite Integrals
- Fundamental Theorem of Calculus
- Rectilinear Motion
- Maybe: Area and Volume
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Calculus · session
Applications of integration
This session is for Emma, but everyone is absolutely welcome to join!
We'll be going through these topics:
- More Antiderivatives: u-substitution, trigonometry, exponential, and natural logs
- More basic differential equations practice
- General and particular solutions (along with initial conditions)
- Rectilinear motion and differential equations
- Euler's Method
Possible:
- Exponential Growth/Decay using Differential Equations
- Riemann Sums (left, midpoint, right, trapezoidal)
- Introduction to definite integrals
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Calculus · session
Applications of integration
We are going to be reviewing a part of the AB Calculus curriculum. This session is meant for Emma, but anyone else is welcome to join! This is the agenda:
- Review of more antiderivatives (u-substitution, trig, inverse trig, natural log, and exponents)
- More complex differential equations
- General and particular solutions
- Initial condition
- Rectilinear Motion using antiderivatives/initial conditions
- Euler's Method
- Possible: logistic growth
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Julian L
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Calculus · session
Applications of integration
This session is for Emma, but everyone is welcome to join! We will be reviewing the following topics:
- Antiderivatives
- U-substitution
- More Antiderivatives
- Differential Equations + Slope Fields if we have time
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Julian L
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Calculus · session
Applications of integration
We will be doing practice AP Calculus BC FRQs, specifically focusing on ones with applications to integration, parametric + polar, and series. (Due to time constraints and each problem taking a long time, we may not be able to get to all types of problems and how to approach them in just one session.)
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Calculus · session
Applications of integration
We'll go over practice problems involving the topics covered in this session.
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Akshaya C
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Calculus · session
Applications of integration
Session for Kaushiki's request, but anyone is welcome to join. Feel free to bring any questions you might have!
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