1
$\begingroup$

So I'm a little confused about the difference between iterated and double integrals, I did a little bit of looking around on the internet, but I couldn't find anything to answer my question. On Wikipedia, there's something about area vs numerical computation, but it was really hard to understand the article. Could someone please explain this to me?

$\endgroup$
2
$\begingroup$

Double integrals are integrals of function of two variables, but Iterated integrals are integral of integral... of single variable function.

Example $$ \iint f(x,y) dx dy $$ is a double integral but $$ \int \Biggr ( \int f(x) dx\Biggl) dx$$ is an iterated integral.

$\endgroup$
  • $\begingroup$ It is interesting to consider the case where $f$ is constant. The double integral would give you the area of the shape defined by the integral range, while the iterated integral represents the distance travelled by an object under the force $f$, in the specified time period $\endgroup$ – David Jun 12 at 15:24

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.