From 6c6293c93e58acf4ed14f9cacac8ac69ed8b4694 Mon Sep 17 00:00:00 2001
From: ben-jaynes <1btjaynes@gmail.com>
Date: Sat, 3 Oct 2026 15:29:15 -0700
Subject: [PATCH] vault backup: 2026-10-03 15:29:15

---
 College/AU 26/MATH 224 (Multivar)/Class 10-2.md | 4 +++-
 1 file changed, 3 insertions(+), 1 deletion(-)

diff --git a/College/AU 26/MATH 224 (Multivar)/Class 10-2.md b/College/AU 26/MATH 224 (Multivar)/Class 10-2.md
index 184185e..79487bb 100644
--- a/College/AU 26/MATH 224 (Multivar)/Class 10-2.md	
+++ b/College/AU 26/MATH 224 (Multivar)/Class 10-2.md	
@@ -13,4 +13,6 @@
 		- x values are between $a$ and $b$ , y values are between $c$ and $d$
 	- slice up solid into equations that can be integrated with one variable
 	- $$\int \int_{[a,b] \times [c,d]} f(x,y) dA = \int^b_{a} \int^d_{c}f(x,y)dy dx$$
-	- 
\ No newline at end of file
+	- Fubini's theorem
+		- $$\int_{a}^b \int_{c}^d f(x,y) dy dx = \int_{c}^d \int_{a}^b f(x,y) dx dy$$
+		- can integrate either way (x or y first)
\ No newline at end of file