From 6fb86a79b22875a1c0010f2b068b2948a9efeaa0 Mon Sep 17 00:00:00 2001 From: arc Date: Thu, 20 Mar 2025 11:12:46 -0600 Subject: [PATCH] vault backup: 2025-03-20 11:12:46 --- .obsidian/plugins/obsidian-git/data.json | 27 ------------------- education/math/MATH1210 (calc 1)/Integrals.md | 13 +++++---- 2 files changed, 8 insertions(+), 32 deletions(-) diff --git a/.obsidian/plugins/obsidian-git/data.json b/.obsidian/plugins/obsidian-git/data.json index bef4c6e..e69de29 100644 --- a/.obsidian/plugins/obsidian-git/data.json +++ b/.obsidian/plugins/obsidian-git/data.json @@ -1,27 +0,0 @@ -{ - "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 13a4354..dc00639 100644 --- a/education/math/MATH1210 (calc 1)/Integrals.md +++ b/education/math/MATH1210 (calc 1)/Integrals.md @@ -6,12 +6,15 @@ An antiderivative is useful when you know the rate of change, and you want to fi ## Examples > Find the antiderivative of the function $y = x^2$ -1. We know that $f'(x) = 2x$ +1. We know that $f'(x) = 2x^1$ ## 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 $n \ne -1$ | -| $\dfrac{d}{dx} kx = k$ | $\int k \space dx = kx + C$ | +| 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 $n \ne -1$ | +| $\dfrac{d}{dx} kx = k$ | $\int k \space dx = kx + C$ | +| $\dfrac{d}{dx} \ln \|x\| = \dfrac{1}{x}$ | | +| $\dfrac{d}{dx} e^x = e^x$ | | +| $\dfrac{d]{dx} a^x = \ln$ | |