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Definite polynomial integral
Definite polynomial integral: formula, units and explained result. No account required. Processing stays in your browser.
∫(ax²+bx+c)dx = ax³/3 + bx²/2 + cx
Signed area for a polynomial up to degree 2. Not the absolute geometric area.
How to use this calculator
- Identify the quantities and convert them to the units shown.
- Apply the formula first, then compare with the substitution and result.
- Check the assumptions and whether the order of magnitude makes sense.
Levels are approximate topic groupings, not a complete curriculum for every country. Numerical results are rounded and may lose precision for extreme or nearly singular inputs.
A practical example
Use these sample inputs to check the calculation before entering your own values.
- a
- 1
- b
- 0
- c
- 0
- Lower bound
- 0
- Upper bound
- 3
Result for this example
- Integral
- 9