Linked from

The 21 pages that link to Riemann integral, each with the reason it gives.

• Limit of a functionRelated: Its construction uses limits of approximating sums.

• AreaRelated: Approximating a region with thin rectangles leads to integral-based area calculation.

• Real analysisRelated: Its existence and value are established through convergence of approximating sums.

• Improper integralRelated: The ordinary Riemann integral supplies the finite, bounded case that improper definitions extend.

• Nonstandard analysisRelated: A hyperfinite sum can represent its value through the standard part map.

• Completeness of the real numbersRelated: Existence proofs for integrals of continuous functions use completeness of the real line.

• Hyperreal numberRelated: Hyperfinite sums of infinitesimal contributions can represent integrals in nonstandard analysis.

• Function of a real variableRelated: It aggregates a function’s values across an interval.

• Standard part functionRelated: Standard parts of hyperfinite sums can recover Riemann integrals.