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Numerical Integration Calculator
Integrate a supported expression and report every sampled value.
Expression in x, Lower endpoint, Upper endpoint, Quadrature, Number of intervals
JSON
Browser only
Runs locally in your browser. Your files, pasted content and generated output are not uploaded. Reset clears this tool’s working data.
This tool needs JavaScript. If it does not load, refresh the page and try again.
How to use this tool
- Enter the displayed example values,or choose the local input files requested by the controls. Optional source files take precedence where labelled.
- Choose Calculate result and inspect the complete result and any reported limitations.
- Use Download result and each companion download link to save complete outputs. Reset clears output and restores example controls.
Examples
Expression in x: sin(x)
Lower endpoint: 0
Upper endpoint: 3.141592653589793
Quadrature: simpson
Number of intervals: 100
Limitations
- Approximate a definite integral with composite trapezoidal or Simpson quadrature and download every sampled x/value. Uses the existing bounded real expression grammar with an explicit x variable; + - * / ^,parentheses,pi/e and documented scientific functions; angles are radians. No eval,assignment or implicit multiplication. Endpoints must differ and lie within +/-1e6; reversed intervals are supported. Use2–2000 even intervals,or a multiple of4 for Simpson. Expression:8192 characters,1000 tokens,64 parser levels. A nested coarse-grid difference gives a heuristic error estimate,not proof of continuity,integrability or guaranteed accuracy. Download the complete JSON report. All processing stays in your browser. Combined input limit: 400,000 UTF-8 bytes, 100,000 characters per field; report limit: 4 MiB. Floating-point rounding and probability underflow can occur.
- Complete outputs only. Unsupported or oversized input is refused. Follow the displayed job-specific bounds and format policies.
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