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.
Common searches this calculator answers include “area under curve”, “definite integral”, “antiderivative”, “calculate definite integral of a polynomial”, “find definite integral”.
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 definite integral of a polynomial calculator used for?
Integrate ax² + bx + c between two limits. It helps with questions such as “area under curve”, “definite integral”, “antiderivative”.
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 the definite integral of a polynomial 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 definite integral of a polynomial 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.