diff --git a/content/math/calculus/calculus_moc.md b/content/math/calculus/calculus_moc.md
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--- a/content/math/calculus/calculus_moc.md
+++ b/content/math/calculus/calculus_moc.md
@@ -10,6 +10,7 @@ date: 2024-05-24
 
 # Differential
 
+* [Common Differential](math/calculus/differential/common_differential.md)
 * [Product Rule](math/calculus/differential/product_rule.md)
 # Integration
 
diff --git a/content/math/calculus/differential/common_differential.md b/content/math/calculus/differential/common_differential.md
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@@ -0,0 +1,11 @@
+---
+title: Common Differential
+tags:
+  - basic
+  - calculus
+  - differential
+  - math
+date: 2024-05-24
+---
+## cos(x)
+
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diff --git a/content/math/calculus/integration/common_integration.md b/content/math/calculus/integration/common_integration.md
index df3438961..ab1142aca 100644
--- a/content/math/calculus/integration/common_integration.md
+++ b/content/math/calculus/integration/common_integration.md
@@ -6,5 +6,18 @@ tags:
   - calculus
 date: 2024-05-24
 ---
-## ln(x)
+## $\ln(x)$
+
+![](math/calculus/integration/attachments/dddb932c0cbe0026f8f268ad1cf6f30a.jpg)
+
+
+## $x\cdot\cos(x)$
+
+![](math/calculus/integration/attachments/200556f15bb0d4b9a7f376327cc3032e_720.jpg)
+
+
+## $\ln^2(x)$
+
+![](math/calculus/integration/attachments/256673ed50d0fd7860e47ec7e7c3c914.jpeg)
+
 
diff --git a/content/math/calculus/integration/integration_by_parts.md b/content/math/calculus/integration/integration_by_parts.md
index 240df1a61..cf100471b 100644
--- a/content/math/calculus/integration/integration_by_parts.md
+++ b/content/math/calculus/integration/integration_by_parts.md
@@ -7,7 +7,7 @@ tags:
   - integration
 date: 2024-05-24
 ---
-![](math/calculus/integration/attachments/3b071487d6f6a2b9f3bcc06fab7135ab_720.jpg)
+ ![](math/calculus/integration/attachments/aa2b711dcd371a1c235862623dd0df5c.jpg)
 # Reference
 
 * https://zh.wikipedia.org/wiki/%E5%88%86%E9%83%A8%E7%A9%8D%E5%88%86%E6%B3%95