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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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Now that we have sketched a polar rectangular region, let us demonstrate how to evaluate a double integral over this region by using polar coordinates.

From Textbooks Mar. 30, 2016

We determine the volume V by evaluating the double integral over R2 :

From Textbooks Mar. 30, 2016

Analyze whether evaluating the double integral in one way is easier than the other and why.

From Textbooks Mar. 30, 2016

Just as in the case of the double integral, we can have an iterated triple integral, and consequently, a version of Fubini’s thereom for triple integrals exists.

From Textbooks Mar. 30, 2016

Another way to look at the polar double integral is to change the double integral in rectangular coordinates by substitution.

From Textbooks Mar. 30, 2016

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