This browser-based simulation helps you approximate area with Riemann sums and observe convergence toward a definite integral. Designed for Grades 7–12, it turns an abstract idea into a model you can control, measure, reset, and test without signing up.
What you can investigate
Explore Riemann sums, definite integral, rectangles, area by changing the available controls and comparing the model’s visual and numerical evidence. Try one variable at a time, then combine changes to test a stronger explanation.
Riemann sumsdefinite integralrectanglesarea
How to use this simulation
1Read the mission and make a prediction before moving a control.
2Change one variable so its effect is easier to identify.
3Run the model and record a value, pattern, or visible change.
4Reset, test a different setup, and explain the result from evidence.
For students, teachers, and independent study
A typical investigation takes 8–15 min. Use it as a lesson demonstration, a guided inquiry activity, a homework experiment, or a quick review. The simulation runs in a modern web browser and does not require an account.
Level
Advanced
Time
8–15 min
Format
Simulation
Common questions
What does the Area Under Curve Explorer teach?
Approximate area with Riemann sums and observe convergence toward a definite integral. The main ideas are Riemann sums, definite integral, rectangles, area.
Is the Area Under Curve Explorer free to use?
Yes. You can run the simulation online for free without creating an account.
How long does the activity take?
Most learners can complete one investigation in 8–15 min. You can repeat it to compare more variables or improve your explanation.