From f764ece9876d4fee8c57aeb39bf612187da762cc Mon Sep 17 00:00:00 2001
From: arc <zleyyij@users.noreply.github.com>
Date: Thu, 20 Mar 2025 11:17:46 -0600
Subject: [PATCH] vault backup: 2025-03-20 11:17:46

---
 .obsidian/plugins/obsidian-git/data.json      | 27 +++++++++++++++++++
 education/math/MATH1210 (calc 1)/Integrals.md | 20 +++++++++-----
 2 files changed, 40 insertions(+), 7 deletions(-)

diff --git a/.obsidian/plugins/obsidian-git/data.json b/.obsidian/plugins/obsidian-git/data.json
index e69de29..bef4c6e 100644
--- a/.obsidian/plugins/obsidian-git/data.json
+++ b/.obsidian/plugins/obsidian-git/data.json
@@ -0,0 +1,27 @@
+{
+  "commitMessage": "vault backup: {{date}}",
+  "autoCommitMessage": "vault backup: {{date}}",
+  "commitDateFormat": "YYYY-MM-DD HH:mm:ss",
+  "autoSaveInterval": 5,
+  "autoPushInterval": 0,
+  "autoPullInterval": 5,
+  "autoPullOnBoot": true,
+  "disablePush": false,
+  "pullBeforePush": true,
+  "disablePopups": false,
+  "listChangedFilesInMessageBody": false,
+  "showStatusBar": true,
+  "updateSubmodules": false,
+  "syncMethod": "merge",
+  "customMessageOnAutoBackup": false,
+  "autoBackupAfterFileChange": false,
+  "treeStructure": false,
+  "refreshSourceControl": true,
+  "basePath": "",
+  "differentIntervalCommitAndPush": false,
+  "changedFilesInStatusBar": false,
+  "showedMobileNotice": true,
+  "refreshSourceControlTimer": 7000,
+  "showBranchStatusBar": true,
+  "setLastSaveToLastCommit": false
+}
\ No newline at end of file
diff --git a/education/math/MATH1210 (calc 1)/Integrals.md b/education/math/MATH1210 (calc 1)/Integrals.md
index dc00639..63f05e9 100644
--- a/education/math/MATH1210 (calc 1)/Integrals.md	
+++ b/education/math/MATH1210 (calc 1)/Integrals.md	
@@ -11,10 +11,16 @@ An antiderivative is useful when you know the rate of change, and you want to fi
 
 ## Formulas
 
-| Differentiation Formula                  | Integration Formula                                     |
-| ---------------------------------------- | ------------------------------------------------------- |
-| $\dfrac{d}{dx} x^n = nx^{x-1}$           | $\int x^n dx = \dfrac{1}{n+1}x^{n+1}+ C$ for $n \ne -1$ |
-| $\dfrac{d}{dx} kx = k$                   | $\int k \space dx = kx + C$                             |
-| $\dfrac{d}{dx} \ln \|x\| = \dfrac{1}{x}$ |                                                         |
-| $\dfrac{d}{dx} e^x = e^x$                |                                                         |
-| $\dfrac{d]{dx} a^x = \ln$                |                                                         |
+| Differentiation Formula                             | Integration Formula                                     |
+| --------------------------------------------------- | ------------------------------------------------------- |
+| $\dfrac{d}{dx} x^n = nx^{x-1}$                      | $\int x^n dx = \dfrac{1}{n+1}x^{n+1}+ C$ for $n \ne -1$ |
+| $\dfrac{d}{dx} kx = k$                              | $\int k \space dx = kx + C$                             |
+| $\dfrac{d}{dx} \ln \|x\| = \dfrac{1}{x}$            |                                                         |
+| $\dfrac{d}{dx} e^x = e^x$                           |                                                         |
+| $\dfrac{d}{dx} a^x = (\ln{a}) a^x$                  |                                                         |
+| $\dfrac{d}{dx} \sin x = \cos x$                     |                                                         |
+| $\dfrac{d}{dx} \cos x = -\sin x$                    |                                                         |
+| $\dfrac{d}{dx} \tan{x} = \sec^2 x$                  |                                                         |
+| $\dfrac{d}{dx} \sec x = \sec x \tan x$              |                                                         |
+| $\dfrac{d}{dx} \sin^-1 x = \dfrac{1}{\sqrt{1-x^2}}$ |                                                         |
+| $\dfrac{d}{dx} \tan^-1 x = \dfrac{}                 |                                                         |