Interactive integral

Choose a function and drag the limits. Watch the area under the curve fill up and the definite integral calculated in real time.

The definite integral:

∫ₐᵇ f(x) dx = F(b) - F(a)

F(x) is the antiderivative. The result equals the area between the curve and the x-axis from a to b.

Function f(x)

Limits: a = 0, b = 3

Integral

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Antiderivative F(x)

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Area = F(b) − F(a)

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Step by step calculation

Give me a place to stand and I shall move the earth.

— Arkimedes (287–212 f.Kr.)