From 061c74495dd3408bf993bb7313fe22607f95d6bc Mon Sep 17 00:00:00 2001
From: ben-jaynes <1btjaynes@gmail.com>
Date: Fri, 2 Oct 2026 12:01:44 -0700
Subject: [PATCH] vault backup: 2026-10-02 12:01:43

---
 College/AU 26/MATH 224 (Multivar)/Class 10-2.md | 5 +++++
 1 file changed, 5 insertions(+)

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 1d64e29..ae7ca08 100644
--- a/College/AU 26/MATH 224 (Multivar)/Class 10-2.md	
+++ b/College/AU 26/MATH 224 (Multivar)/Class 10-2.md	
@@ -6,4 +6,9 @@
 	- riemann sums: $$\int_{a}^b f(x) dx = \lim_{ n \to \infty } f(x^*_{k}) \Delta x$$
 - double integral
 	- $f(x,y)$
+	- $$\int \int_{R} f(x,y) dA$$
+	- represents the signed volume between the xy plane and the graph of $z=f(x,y)$ above the region $R$
+	- defining region
+		- $$R=[a,b] \times [c,d]$$
+		- x values are between $a$ and $b$ , y values are between $c$ and $d$
 	- 
\ No newline at end of file