Type analytic expressions such as sin(x), exp(-x^2), x^3 - 2x, or combinations that call ln, abs, sgn, and constants like pi.
Need a quick class demo? Toggle the fill option to emphasise signed area, compare how each rule converges as n grows, and use the CSV or LaTeX buttons to build worksheets instantly.
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Which Riemann sum rule should I pick?
Left/right sums follow the orientation of rectangles, which is great for quick estimates but can over- or undershoot when f is monotone. The trapezoid rule is second-order accurate and balances speed with precision. Simpson's rule reaches fourth-order accuracy on smooth functions, while midpoint splits the difference with a symmetric single-rectangle view.
Why must Simpson's rule use an even n?
Simpson's rule joins point triplets with quadratics, so the interval must break into an even number of subintervals. The explorer automatically increases n by 1 when needed and highlights the adjustment in the steps.
Berapa banyak subselang n yang patut saya guna?
For smooth functions start with n = 50–100 and increase n to reduce error. Simpson converges faster but requires even n; the tool adjusts n automatically when needed.
Bolehkah saya enter piecewise or non‑analytic functions?
Yes. You can use abs, sgn, and constants like pi. Non‑finite evaluations are skipped and treated as zero; the step log notes any skipped points.