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 255b0e4..a2daa8d 100644
--- a/education/math/MATH1210 (calc 1)/Integrals.md	
+++ b/education/math/MATH1210 (calc 1)/Integrals.md	
@@ -169,9 +169,12 @@ $$ L =\int_a^b \sqrt{1 + f'(x)^2} dx$$
 5. $L = \int_{1/2}^5 \sqrt{1 + (\dfrac{4x-1}{2x^2})^2}dx$ : Use the length formula
 6. $= \int_{1/2}^5 \sqrt{1 + \dfrac{x^8 - 2x^4 + 1}{x^4}} dx$: Apply the $^2$ 
 7. $= \int_{1/2}^5 \sqrt{\dfrac{4x^4 + x^8 -2x^4 + 1}{4x^4}}dx$: Set $1 = \dfrac{4x^4}{4x^4}$ and add
-8. $= \int_{1/2}^5 \sqrt{\dfrac{x^8 + 2x^4}{4x^4}}dx$ 
-9. $\int_{1/2}^5 \sqrt{\dfrac{(4x+1)^2}{4x^4}}$ 
+8. $= \int_{1/2}^5 \sqrt{\dfrac{x^8 + 2x^4 + 1}{4x^4}}dx$: Factor the numerat
+9. $= \int_{1/2}^5 \sqrt{\dfrac{(4x+1)^2}{4x^4}}dx$ 
 10. = $\int_{1/2}^5 \dfrac{x^4 + 1}{2x^2}dx$
 11. $= \frac{1}{2}\int_{1/2}^5 \dfrac{x^4 + 1}{x^2}$
 12. $= \dfrac{1}{2} \int_{1/2}^5 (x^4 + 1)(x^{-2})dx$ 
-13. $= \frac 1 2 \int_{1/2}^5 (x^2 - x^$  
\ No newline at end of file
+13. $= \frac 1 2 \int_{1/2}^5 (x^2 - x^{-2})dx$
+14. $= \dfrac{1}{2} (\frac{1}{3}x^3 - x^-1)\Big|_{1/2}^5$ 
+15. $= (\frac{125}{6} - \frac{1}{10}) - (\frac{1}{48} - 1)$ 
+16. $=(\frac{5000}{240} - \frac{24}{240}) - (\frac{5}{240} - \frac{240}{240})$ 
\ No newline at end of file