Interactive Demo
Riemann Sums: The Engine of Accumulation
Riemann Sums: The Engine of Accumulation is a free, interactive learning demo from the AP/College Calculus AB course on Lykke. It helps you build intuition for Definite Integrals, Fundamental Theorem of Calculus, Riemann Sums, Antidifferentiation. Play with it directly in your browser — it features 2 sliders, 1 dropdown and a live visual canvas. This demo lives in the “Integration and Accumulation of Change” section of the course.
How to use this demo
- Drag the “Subintervals: 10”, “Summation Method” sliders to change the inputs and watch the result update live.
- Pick an option from the dropdown to switch between scenarios.
- Experiment freely — there's nothing to break, and every change is reversible.
What you'll explore
- Definite Integrals
- Fundamental Theorem of Calculus
- Riemann Sums
- Antidifferentiation
- Accumulation Functions
Frequently asked questions
What does the Riemann Sums: The Engine of Accumulation demo do?
Introduction to integration as the accumulation of quantities and the reverse of differentiation. Riemann Sums: The Engine of Accumulation turns that idea into something you can manipulate directly and watch respond.
What AP/College Calculus AB concept does Riemann Sums: The Engine of Accumulation teach?
Introduction to integration as the accumulation of quantities and the reverse of differentiation. It focuses on Definite Integrals, Fundamental Theorem of Calculus, Riemann Sums, Antidifferentiation, Accumulation Functions from the “Integration and Accumulation of Change” section.
What can I control in Riemann Sums: The Engine of Accumulation?
The “Subintervals: 10”, “Summation Method” sliders change the key inputs; a dropdown switches between scenarios. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.
How does Riemann Sums: The Engine of Accumulation fit into the AP/College Calculus AB course?
The Client Challenge course is a comprehensive AP®/College Calculus AB curriculum designed to master the foundational principles of calculus. It covers ten core units ranging from limits and continuity to advanced appli… This demo is the interactive piece for the “Integration and Accumulation of Change” section. Open the full AP/College Calculus AB course wiki at https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c for notes, flashcards, quizzes and the other demos.
What will I understand better after using Riemann Sums: The Engine of Accumulation?
You'll build intuition for Definite Integrals, Fundamental Theorem of Calculus, Riemann Sums, Antidifferentiation, Accumulation Functions — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on AP/College Calculus AB alone.
From the AP/College Calculus AB course
This interactive demo is part of the Integration and Accumulation of Change section. Explore the full AP/College Calculus AB course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the AP/College Calculus AB course →