积分表127个公式的推导修正版.docx
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积分表127个公式的推导修正版
高等数学
积分表
公式推导
(一)含有
的积分(1~9)·······················································1
(二)含有
的积分(10~18)···················································5
(三)含有
的积分(19~21)····················································9
(四)含有
的积分(22~28)············································11
(五)含有
的积分(29~30)········································14
(六)含有
的积分(31~44)·········································15
(七)含有
的积分(45~58)·········································24
(八)含有
的积分(59~72)·········································37
(九)含有
的积分(73~78)····································48
(十)含有或
的积分(79~82)···························51
(十一)含有三角函数的积分(83~112)···········································55
(十二)含有反三角函数的积分(其中
)(113~121)·······················68
(十三)含有指数函数的积分(122~131)··········································73
(十四)含有对数函数的积分(132~136)··········································78
(十五)含有双曲函数的积分(137~141)··········································80
(十六)定积分(142~147)····························································81
附录:
常数和基本初等函数导数公式·········································85说明·····················································································86
(一)含有
的积分(1~9)
(二)含有
的积分(10~18)
(三)含有
的积分(19~21)
(四)含有
的积分(22~28)
(五)含有
的积分(29~30)
(六)含有
的积分(31~44)
(七)含有
的积分(45~58)
(八)含有
的积分(59~72)
(九)含有
的积分(73~78)
(十)含有或
的积分(79~82)
(十一)含有三角函数的积分(83~112)
(十二)含有反三角函数的积分(其中
)(113~121)
(十三)含有指数函数的积分(122~131)
(十四)含有对数函数的积分(132~136)
(十五)含有双曲函数的积分(137~141)
(十六)定积分(142~147)
附录:
常数和基本初等函数导数公式
说明
1.感谢南京信息工程大学方勉同学及原团队成员,感谢所有支持本讲义编辑的支持者;
2.本讲义为方便各位学友阅读,排版采用每一单面都是一个或几个完整证明过程的原则;
3.由于本讲义编辑的比较匆忙,难免有些推导和输入错误,还望广大学友给予批评和指正。
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