Перейти к содержимому

Session 6: Why does the example given here is not contradicting Fubini's theorem?

Dr. Mathaholic

0:00 / 0:00

Session 6: Why does the example given here is not contradicting Fubini's theorem?

5 982 просмотра · 5 л. назад
Dr. Mathaholic
33,4 тыс. подписчиков
5 982 просмотра · 5 л. назад
We always says that in double integration you take any order of integration, you always get the same answer. Thats true provided given function is continuous. If its not continuous then if we change the order of integration then we may not get the same answer. In this video I have discussed an example with you in which function is not continuous over the given region and thus Fubini theorem MAY NOT hold here. That's why this example does not contradicts Fubini's theorem. We will use software to find double integration because main aim of this video is not to show how to solve double integration. Main aim is to tell you that this example does not contradicts Fubini's theorem.