Area Under the Curve Calculator

Area Under the curve calculator

For curves below the x-axis, a definite integral gives signed area; geometric area may require an absolute value or splitting the interval. Formula: Area = ∫ₐᵇ f(x)dx when f(x) ≥ 0 on [a,b]

Definite
Indefinite

with respect to

Upper Limit: (inf = ∞ , pi = π)

Lower Limit: (inf = ∞ , pi = π)

Estimate Area Under the curve

For curves below the x-axis, a definite integral gives signed area; geometric area may require an absolute value or splitting the interval.

Formula: Area = ∫ₐᵇ f(x)dx when f(x) ≥ 0 on [a,b]

The formula links the named physical or geometric quantities directly, so each input has a defined role in the result.

Checking the dimensions of both sides is a useful way to catch a wrong unit or misplaced value.

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