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Public evidence

math.numerical.definite_integral

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

Verification

9/9 calculation tests · Production surface contract 4/4

  • Golden tests 3 / 3
  • Boundary tests 1 / 1
  • Property tests 5 / 5
  • Production surface contract 4 / 4
  • }
  • Engine tested Yes
  • Source checked Yes
  • Artifact integrity PASS
  • Production attestation Embedded snapshot: STALE · Last attested schema matched 1.0.0 snapshot / local build · Semantic contract ✓ · Last attestation PASS · current evidence changed · re-attestation required · Public/cache ✓ · Origin ✓ · Live production status STALE (22 capabilities; 141 remain CURRENT) @ 2026-09-16T23:19:12.228Z
  • Semantic contract PASS
  • Evidence attested at 2026-09-16T23:18:54.751Z
  • Last production check 2026-09-16T23:18:54.751Z
  • Public / cache PASS
  • Origin PASS
  • Supplemental domain review Not performed
  • Named expert review Not performed
  • release artifacts aligned PASS
  • schema valid input executes PASS
  • engine success output validates schema PASS
  • schema rejects incomplete input PASS

Fingerprint sha256:030ad6fbbf0e15be953ac684fc6b9a14275aa462ffec14916af0e1ce95a30258

Input schema sha256:eb18b90174a39a6eddf1fcef217d041603b179adb0c6921040af31a6666fb746 · Output schema sha256:c184e02d2e1be384650183910b8705308dc14d09017efc944e15c938a041eb3d · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool
definite-integral
Engine
definite-integral
Engine build
2026-09-16
Evidence core
2026-09-16T15:14:48.779Z
Rendered
2026-09-16T22:38:08.876Z
Last reviewed

Assumptions

  • Not indefinite CAS
  • Polynomial degree ≤ 8

Limitations

  • Not indefinite / symbolic CAS integrate
  • n panels 2–10000; Simpson n forced even
  • Polynomial degree ≤ 8

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

Published checks

Golden, boundary, and property cases included in this evidence build.

IDKindStatusDetail
golden-x-dxgoldenpassExpected exact=0.5 · Actual n=10 · value=0.5 · method=simpson · integrand=poly · a=0 · b=1 · exact=0.5 · abs_err=0
golden-x2goldenpassExpected value=0.3333333333333333 · exact=0.3333333333333333 · Actual n=10 · value=0.333333333333 · method=simpson · integrand=poly · a=0 · b=1 · exact=0.333333333333 · abs_err=0
golden-sin-pigoldenpassExpected exact=2 · Actual n=200 · value=2.00000000068 · method=simpson · integrand=sin · a=0 · b=3.141592653589793 · exact=2 · abs_err=6.76473099759e-10
boundary-rombergboundarypassExpected INVALID_MODE · Actual INVALID_MODE
property-int-xpropertypass∫x
property-int-x2propertypass∫x² Simpson
property-int-sinpropertypass∫sin
property-int-exppropertypass∫e^x
property-int-trappropertypass∫₀² x