±Free
Data integral (trapezoidal)
Approximate area under sampled y(x) data with the trapezoidal rule.
Enter paired samples with strictly increasing x coordinates. Each adjacent pair contributes width × average endpoint height, and the calculator sums those trapezoids and reports the interval count.
How to use
- Enter your text, values, or image.
- Adjust the options and run the tool.
- Copy or download your result.
Worked example
Example input
Increasing x samples: 0,1,2 y samples: 0,1,2
Example result
{
"integral": 2,
"intervals": 2
}Limitations and details
This integrates numeric samples rather than symbolic expressions; coarse sampling and curved segments can introduce approximation error.
Inputs and options
- Increasing x samples
- Text
- y samples
- Text
Frequently asked questions
Is this tool free and private?
Yes. All 300 tools are free in this phase. Processing happens in your browser; your input and files are not sent to our servers.