How to use the definite integral of a polynomial calculator
Integrate ax² + bx + c between two limits. Enter a, b, c, lower limit, upper limit in the fields above; the definite integral is computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- a — a
- b — b
- c — c
- lo — Lower limit
- hi — Upper limit
Worked example
With a = 3, b = 2, c = 1, lower limit = 0, upper limit = 2, the calculator gives definite integral ≈ 14.
Frequently asked questions
What is the formula for the definite integral of a polynomial calculation?
Definite integral = a × (hi^3-lo^3) / 3+b × (hi^2-lo^2) / 2+c × (hi-lo). Here a is a, b is b, c is c, lo is lower limit, hi is upper limit.
What inputs do I need for the definite integral of a polynomial calculator?
You need a, b, c, lower limit, upper limit. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.