double integral

American  

noun

Mathematics.

1. an integral in which the integrand involves a function of two variables and that requires two applications of the integration process to evaluate.

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Example Sentences

In the preceding two examples, the double integral in Green’s theorem was easier to calculate than the line integral, so we used the theorem to calculate the line integral.

From Textbooks • Mar. 30, 2016

Then the unit normal vector is k and surface integral ∬ curl F · dS is actually the double integral ∬ curl F · kdA.

From Textbooks • Mar. 30, 2016

This form of Green’s theorem allows us to translate a difficult flux integral into a double integral that is often easier to calculate.

From Textbooks • Mar. 30, 2016

We can use Fubini’s theorem to write and evaluate a double integral as an iterated integral.

From Textbooks • Mar. 30, 2016

By taking the limit, this becomes a double integral representing the volume of the solid.

From Textbooks • Mar. 30, 2016