Interactive Demo
Riemann Sums & Accumulation
Riemann Sums & Accumulation is a free, interactive learning demo from the AP/College Calculus BC course on Lykke. It helps you build intuition for Riemann Sums, Fundamental Theorem of Calculus, U-Substitution, Integration by Parts. 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 “Approximation Method” slider 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
- Riemann Sums
- Fundamental Theorem of Calculus
- U-Substitution
- Integration by Parts
Frequently asked questions
What does the Riemann Sums & Accumulation demo do?
Area: 0.00 Exact Area: 16.67 Adjust the slider to see how increasing subintervals minimizes the error between the discrete sum and the continuous integral. Riemann Sums & Accumulation lets you explore this hands-on instead of only reading about it.
What AP/College Calculus BC concept does Riemann Sums & Accumulation teach?
Introduction to the definite integral, Riemann sums, and the Fundamental Theorem of Calculus. It focuses on Riemann Sums, Fundamental Theorem of Calculus, U-Substitution, Integration by Parts from the “Integration and Accumulation of Change” section.
What can I control in Riemann Sums & Accumulation?
The “Approximation Method” slider 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 & Accumulation fit into the AP/College Calculus BC course?
This course provides a comprehensive curriculum for AP®/College Calculus BC, covering twelve units of study from foundational limits to advanced infinite series. Students will master differentiation, integration, differ… This demo is the interactive piece for the “Integration and Accumulation of Change” section. Open the full AP/College Calculus BC course wiki at https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049 for notes, flashcards, quizzes and the other demos.
What will I understand better after using Riemann Sums & Accumulation?
You'll build intuition for Riemann Sums, Fundamental Theorem of Calculus, U-Substitution, Integration by Parts — 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 BC alone.
From the AP/College Calculus BC course
This interactive demo is part of the Integration and Accumulation of Change section. Explore the full AP/College Calculus BC course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the AP/College Calculus BC course →