Question

what's a double integral that we can't do as an iterated integral? what's an iterated integral that isn't a double integral?

Answer 1

Certain double integrals cannot be evaluated as iterated integrals, while iterated integrals are not always double integrals.

Step-by-step explanation:

In mathematics, there are certain double integrals that cannot be evaluated as iterated integrals. These types of double integrals occur when the limits of integration are expressed using different variables for each integral. An example of such a double integral is:

∫∫ (x+y) dA

On the other hand, an iterated integral is one in which the double integral is expressed as two separate integrals, one for each variable, where the inner integral is integrated first and then the outer integral is computed. An example of an iterated integral that is not a double integral is:

∫ (x+y) dx

Answer 2

I guess I don’t understand your question. A double integral (& triple integral) is an iterated integral. An iterated integral is an integral applied to more than one variable.