Definite Polynomial Integral
Integrate a coefficient-form polynomial between two limits.
Your numbers
Definite integral
Use consistent units. The result follows the assumptions you enter.
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Formula
Integrate each polynomial term with ∫ aₙxⁿ dx = aₙx^(n+1)/(n+1), then evaluate F(b)−F(a). aₙ is a coefficient, n is its nonnegative integer power, and a and b are lower and upper limits. F is the summed antiderivative.
Integrate a coefficient-form polynomial between two limits.
Worked example
- Coefficients, highest power first
- 3, 2, 1
- Lower limit
- 0
- Upper limit
- 1
- Definite integral
- 3
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
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Formula version: 515eef36168b · Example checked: