How to use Integral Calculator
- Enter a supported real expression and select the integration method.
- For definite mode, enter finite limits on a continuous real interval.
- Review the antiderivative or estimate, numerical error and any refusal.
Example: Integral Calculator
Integral Calculator: Adaptive Simpson estimate; use a continuous finite real interval.
Options
- Method
- Polynomial mode returns an antiderivative for its supported polynomial scope. Definite mode estimates an integral on the entered interval.
- Bounds and continuity
- Use a finite interval where the real expression is continuous. Sampling does not establish that every point meets this condition.
Supported inputs and limits
Where your input is processed
This tool processes your input in this browser. Your text and files are not uploaded to UseFreeTools. Check this tool's limits for anything it may save on your device.
An error estimate is not a certified bound
Adaptive Simpson sampling compares numerical approximations and stops within finite limits. A narrow spike or unsampled singularity can still be missed. Reversing bounds reverses the sign; changing the interval can change both the result and the reliability of the assumptions.
Questions about Integral Calculator
Does a successful estimate prove continuity?
No. You must establish that the entered interval is suitable. Sampling can miss a singularity.
Why does the polynomial result include C?
An indefinite integral represents a family of antiderivatives differing by a constant.
Can reversed limits be used?
Yes. Reversing finite limits changes the sign of the supported numerical estimate.