Numerical Integration Calculator (Trapezoidal And Simpson)

Numerical Integration Calculator (Trapezoidal And Simpson): a planned Super Calculator tool. Stub page while the tool and its worked example are prepared.

Numerical Integration Calculator (Trapezoidal And Simpson) is a planned calculator in the mathematics section of Super Calculator, covering calculus.

What this calculator will compute

Inputs: expression or data point table, bounds, number of intervals and method.

Outputs: approximate integral, error estimate, per-interval contributions, method comparison and convergence table.

Formula, recorded as scope and not yet verified against a primary source: Trapezoidal rule with error O(h^2); Simpson’s rule with error O(h^4) requiring an even number of intervals; Gauss-Legendre quadrature for smooth integrands. Also integrates tabulated data points where no formula exists.

Status

This page is a stub. The calculator is not built, no figure on this page has been verified against the authority that sets it, and nothing here should be used to make a decision. The page exists so that the site structure is complete and so that articles can link this concept on first mention.

The stub carries noindex, nofollow and is excluded from the sitemap.