Interactive math tool
Riemann Sums: Approximating Area Under a Curve
Interactive left, midpoint, and right Riemann sums — refine partitions to approach a definite integral.
A definite integral is net area under a curve. Riemann sums tile that area with rectangles; finer partitions usually get closer.
How it works
- Open the Riemann-sum scene.
- Switch left / mid / right endpoints.
- Increase the number of partitions n.
- Compare the sum with the exact integral readout.
Teaching tip
Keep the interval fixed and raise n from 4 to 20 so students watch the error shrink.
FAQ
Must students know antiderivatives first?
Use this for geometric motivation; compute formulas afterward.
Is this tool free?
Yes. It runs in the browser with no install.
Good for class demos?
Yes — project it and ask what changes when you drag a parameter.
How do I write the formula afterward?
Open the equation editor or symbol sheet and copy a clean expression.