Update 2024-03-01-数学学习.md

nooblong · Aug 28, 2024 · f7b5ea7 · f7b5ea7
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@@ -311,6 +311,12 @@ dx = 1/10, dy = 1/48 dx = 1/480
 
 ---
 
+换元法：$\int x^3(x^4+2)^5dx$
+
+u = x^4 + 2, du = 4x^3 dx
+
+= $\int \frac {u^5du} {4} = \frac {1} {24} u^6 + C = \frac {1} {24} (x^4 + 2)^6 + C$
+
 ### 中值定理
 
 费马定理