Finite Riemann sums and approximation

Practice finite Riemann sums with left endpoints, right endpoints, midpoints and unequal subintervals. Use formulas and readable data tables to convert sampled rates into accumulated estimates. Original single-select and multiselect questions progress from width selection to bounds, error reasoning and incomplete measurements. Worked explanations keep sample locations, rectangle heights and widths separate. Monotonicity supports endpoint bounds only when it is actually known, and missing midpoint measurements are never silently invented. This is an optional introduction to accumulation before definite integrals.