What is the Integral Calculator?
The integral calculator is a free online tool that helps you work out integral quickly and accurately. It uses the standard formula Numeric integration (Simpson's rule) from a to b and shows the result instantly as you type, along with a full breakdown so you can see exactly how the answer was reached.
How to use this calculator
- Enter f(x).
- Enter the limits a and b.
- See the definite integral.
Formula used
Numeric integration (Simpson's rule) from a to bExplanation of each input
- Function f(x) โ the function f(x) used in the calculation.
- From a โ the from a used in the calculation.
- To b โ the to b used in the calculation.
Understanding your result
- Definite integral โ the calculated definite integral.
Step-by-step calculation
For the example values x^2 from 0 to 1:
- Apply the formula:
Numeric integration (Simpson's rule) from a to b - Substitute the values: Simpson
- Result: about 0.3333
Worked example
| Inputs | x^2 from 0 to 1 |
|---|---|
| Working | Simpson |
| Result | about 0.3333 |
Benefits and practical uses
This calculator saves you time and reduces errors when you need integral. It is useful for students, professionals and anyone who wants a fast, reliable answer without manual calculation. Results update instantly, work in your browser and can be copied or shared in one click.
Assumptions and limitations
- Continuous function on [a,b].
Frequently asked questions
What does a definite integral give?
The signed area under the curve between the two limits.
Disclaimer: Results are provided for general information. Please verify important figures independently.