Fubini

July 14th, 2010

In Mathematical analysis, the Fubini’s theorem is sometimes useful. Below is a weak form of Fubini ’s Theorem.

What is Fubini ’s Theorem?

If

$Fubini$

is continuous, then the repeated integrals below

$Fubini's Theorem$ and

$Fubini 's Theorem$

exist and are equal. We shall often find the need to differentiate an integral with varying limits of Integration. This weak version or form of Fubini’s Theorem should be memorized. There are many other math analysis results that are based on Fubini ’s Theorem result and we shall prove them in another section. Fubini ’s Theorem extends from the Fundamental Theorem of Calculus below.