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.

---

Example Sentences

See Examples For:

double integral

Set up a double integral for finding the value of the signed volume of the solid S that lies above R and “under” the graph of f .

From Textbooks ● Mar. 30, 2016

The basic idea is that the evaluation becomes easier if we can break a double integral into single integrals by integrating first with respect to one variable and then with respect to the other.

From Textbooks ● Mar. 30, 2016

We can also use a double integral to find the average value of a function over a general region.

From Textbooks ● Mar. 30, 2016

However, before we describe how to make this change, we need to establish the concept of a double integral in a polar rectangular region.

From Textbooks ● Mar. 30, 2016

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

From Textbooks ● Mar. 30, 2016