From d5d52c3b446c5a1e14b157cccb418ec96998116d Mon Sep 17 00:00:00 2001
From: ViperEkura <3081035982@qq.com>
Date: Sun, 19 Apr 2026 13:59:38 +0800
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 subjects/math/积分与极限求和式的转化.md | 14 ++++++++++++++
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 create mode 100644 subjects/math/积分与极限求和式的转化.md

diff --git a/subjects/math/积分与极限求和式的转化.md b/subjects/math/积分与极限求和式的转化.md
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+# 积分与极限求和式的转化
+
+根据公式
+
+$$
+\int_a^b f(x)dx = \lim_{n\to\infty}\sum_{i=1}^n f(x_i)\Delta x
+$$
+
+
+对于均匀矩形分割的情况， 实际上只用分离出 $\frac{1}{n}$
+
+$$
+\int_a^b f(x)dx = \lim_{n\to\infty}\sum_{i=1}^n f(a + \frac{(b-a) i}{n} ) \frac{b-a}{n}
+$$