File:NLC416-08jh009250-25486 積分問題解法.pdf

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積分問題解法   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
程凱丞編著
image of artwork listed in title parameter on this page
Title
積分問題解法
Publisher
商務印書館[發行者]
Description

目錄
第一章 緒論
1 積分學與微分學之關係
2 術語與記法
3 積分常數與不定積分
4 積分學中之假定
5 積分之驗證
6 求積分之法則
第二章 不定積分之標準式
7 標準式及其證明
8 本章問題解法
9 公式（1）至公式（5）之例題
10 公式（6）至公式（7）之例題
11 公式（8）至公式（17）之例題
12 公式（18）至公式（23）之例題
第三章 三角函數之積分法
13 三角微分
14 求〓sin〓xcos〓x（m或n為正整奇數）
15 求〓tan〓xdx，或〓cot〓xdx（n為整數）
16 求〓sec〓xdx，或〓csc〓xdx（n為正整偶數）
17 求〓tan〓x sec〓xdx，或〓cot〓csc〓xdx（n為偶數，或m為奇數）
18 用倍角三角函數求〓sin〓x cos〓xdx（m,n均為偶數）
19 求〓sin mx cos nx dx，〓sin mx sin nx dx及〓cos mx cos nx dx(m≠n)
20 本章例題
第四章 偏分積分法
21 有理分數
22 分母之因子均為一次式且無重複者
23 分母之因子均為一次式但有重複者
24 分母有二次質因子且無重複者
25 分母有二次質因子且系重複者
26 本章例題
第五章 代換積分法
27 代換積分法
28 微分式含〓，或〓之代換公式
29 微分式僅含x之分指數之代換公式
30 微分式僅含a+bx之分指數之代換公式
31 微分式僅含〓之代換公式
32 微分式僅含〓之代換公式
33 二項微分
34 二項微分之可積分性之條件
35 三角微分之代換公式
36 代換雜例
37 本章例題
第六章 分部積分法
38 分部積分法之公式
39 本章例題
第七章 遞化積分法
40 二項微分之遞化公式
41 三角微分之遞化公式
42 本章例題
第八章 定限積分
43 面積之微分
44 定限積分
45 定限積分之性質
46 定限積分之計算法
47 變數代換上下限亦宜代換
48 本章例題
第九章 累次積分法與偏積分法
49 累次積分法
50 偏積分法
51 本章例題

Language Chinese
Publication date 民國25[1936]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
主題
InfoField
積分學
中圖分類
InfoField
O172.2-44
載體形態
InfoField
244頁

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current09:25, 10 June 2023Thumbnail for version as of 09:25, 10 June 20231,239 × 1,754, 255 pages (3.46 MB)PencakeBot (talk | contribs)Upload 積分問題解法 (1/1) by 程凱丞編著 (batch task; nlc:data_416,08jh009250,25486; 民國圖書.4; 積分問題解法)

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