26 окт. 2021 г. · In a typical calc 3 context, fubini's theorem is only applied when the region of integration is rectangular. That is, the bounds are all ...

30 нояб. 2023 г. · It's only justified if both iterated integrals give you the same finite value. Fubini's theorem is an "if and only if" statement, so if both ...

25 окт. 2019 г. · The full statement of Fubini's theorem is that the double integral is the same as both of the iterated integrals, as long as the function is " ...

12 авг. 2022 г. · The best bet in the majority of cases is to just draw the region of integration and figure out the bounds manually.

27 окт. 2019 г. · Fubini's theorem just gives conditions under which you can swap the order of multiple integrals. So instead of integrating x and then y, you can swap the order ...

31 авг. 2017 г. · Fubini's theorem was proven in 1907, about 200 years after the invention of calculus and a couple of years after the introduction of the Lebesgue integral.

15 окт. 2016 г. · If the integral of the magnitude of the function is finite (absolutely convergent), you can change the order of integration and it won't change ...

28 янв. 2021 г. · This theorem fails if the conditions of the double integral are not met. One of those conditions state that if the double integral of the ...

20 сент. 2011 г. · An iterated integral is apriori very different: If we have a function of two variables f(x,y), and we fix y, we essentially get a function of x.

12 мая 2023 г. · What rule is being used in this step? I know of fubini's theorem but that doesn't explain how an x got into the boundary. Analysis.