The Double Integral Calculator evaluates integrals of functions of two variables over rectangular regions. It uses nested numerical integration to compute accurate results.
Enter your function of two variables (e.g. x and y), specify the bounds for each variable, and the calculator will evaluate the double integral. This is useful for finding volumes, surface areas, and other multi-dimensional quantities.
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A double integral extends the concept of integration to functions of two variables. It computes the volume under a surface z = f(x, y) over a region in the xy-plane.
For rectangular regions, the double integral can be evaluated as iterated integrals: first integrate with respect to one variable, then the other. The order of integration can be swapped (Fubini's theorem) for continuous functions.
Aufgabe: Find the double integral of (x + y) over [0,1] x [0,1]
Loesung: Inner: integral of (x+y)dy from 0 to 1 = x + 1/2. Outer: integral of (x + 1/2)dx from 0 to 1 = 1/2 + 1/2
Antwort: 1
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