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‎content/posts/0816.md‎

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date = '2025-08-16T23:48:21+08:00'
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draft = false
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title = '0816学习日志'
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categories="log"
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tags=["数学","不定积分","定积分","变限积分","反常积分"]
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## 数学-一元积分学
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### 不定积分
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1. 原函数与不定积分
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2. 原函数（不定积分）存在定理
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1. 连续函数f(x)必有原函数F(x)
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2. 含有第一类间断点和无穷间断点的函数f(x)在包含该间断点的区间内没有原函数F(x)
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### 定积分
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1. 定义
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1. 定积分的概念
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2. 几何意义
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3. 定积分的精确的定义
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4. 定积分的值与字母无关
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2. 存在定理
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1. 定积分存在的充分条件
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2. 定积分存在的必要条件
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3. 性质
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1. 性质1 ：求区间长度
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2. 性质2：积分的线性性质
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3. 性质3：积分的可加（拆）性
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4. 性质4：积分的保号性
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5. 性质5：估值定理
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6. 性质6：中值定理
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### 变限积分
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1. 概念
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2. 性质
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#### 反常积分
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1. 概念
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2. 敛散性的判别法
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1. 无穷区间
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* 比较判别法
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* 比较判别法的极限形式
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2. 无界函数
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* 比较判别法
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* 比较判别法的极限形式
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‎public/404.html‎

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<!DOCTYPE html>
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<meta name='viewport' content='width=device-width, initial-scale=1'><meta name='description' content="無職受験生 ～408に挑んだら本気だす～">
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<meta property='og:site_name' content='shyの考研日志'>
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</script><script type="text/javascript" src="/npee_learning_log.github.io/ts/main.1e9a3bafd846ced4c345d084b355fb8c7bae75701c338f8a1f8a82c780137826.js" defer></script>
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‎public/categories/diary/index.html‎

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<meta name='viewport' content='width=device-width, initial-scale=1'><meta name='description' content="無職受験生 ～408に挑んだら本気だす～">
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<title>Category: Diary - shyの考研日志</title>
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<span class="year">2025-08</span>
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‎public/categories/diary/index.xml‎

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<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom">
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<channel>
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<title>Diary on shyの考研日志</title>
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<link>http://localhost:1313/npee_learning_log.github.io/categories/diary/</link>
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<link>https://auroraemiya.github.io/npee_learning_log.github.io/categories/diary/</link>
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<description>Recent content in Diary on shyの考研日志</description>
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<title>暴雨西湖</title>
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<link>http://localhost:1313/npee_learning_log.github.io/diary/westlake-with-haruko/</link>
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<link>https://auroraemiya.github.io/npee_learning_log.github.io/diary/westlake-with-haruko/</link>
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<pubDate>Sat, 12 Jul 2025 22:27:55 +0800</pubDate>
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<description>&lt;img src="http://localhost:1313/npee_learning_log.github.io/diary/westlake-with-haruko/westlake_in_strom.jpg" alt="Featured image of post 暴雨西湖" /&gt;&lt;p&gt;今天带刚来杭州的&lt;strong&gt;太阳&lt;/strong&gt;(应当事人的要求使用该昵称)去西湖游玩。其实天气预报有雨，但东坡先生有诗为证：&lt;/p&gt;
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<description>&lt;img src="https://auroraemiya.github.io/npee_learning_log.github.io/diary/westlake-with-haruko/westlake_in_strom.jpg" alt="Featured image of post 暴雨西湖" /&gt;&lt;p&gt;今天带刚来杭州的&lt;strong&gt;太阳&lt;/strong&gt;(应当事人的要求使用该昵称)去西湖游玩。其实天气预报有雨，但东坡先生有诗为证：&lt;/p&gt;
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&lt;blockquote&gt;
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&lt;p&gt;水光潋滟晴方好，山色空蒙雨亦奇。
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欲把西湖比西子，淡妆浓抹总相宜。&lt;/p&gt;&lt;/blockquote&gt;
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<title>Intro-全部の始まり</title>
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<description>&lt;h2 id=&#34;写在一切的前面&#34;&gt;写在一切的前面
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&lt;/h2&gt;&lt;p&gt;欢迎来到我的博客，这是我 （笔者自称小shy)为了记录参加2026考研全过程而开始的新栏目。&lt;/p&gt;
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&lt;p&gt;我准备参加今年年底的2026NPEE(The national entrance examination for postgraduate)，科目是11408。&lt;/p&gt;

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