$Multiple Integrals$

Multiple Integrals

The value of a double or triple integral by numerical calculation with an accuracy check.

What to find:

Double integral over a rectangle

Double integral with y limits depending on x

Triple integral over a box

f(x, y, z) =

x fromtoy fromto

Variables x, y, z. The x limits, and in modes one and three all limits, are numbers: 0, 1/2, pi. In mode two the y limits may contain x: x^2.

This calculator finds the value of a double or triple integral numerically. The result is checked with two partitions.

Example. ∬ xy dx dy over x ∈ [0, 1], y ∈ [0, 2] equals 1. The triple integral ∭ xyz over the unit cube equals 1/8.

The calculator does no symbolic integration or change of variables. It shows a number, not an antiderivative.

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