积分表积分公式推导.doc

高等数学
积分表
公式推导目录
（一）含有ax+b的积分（1～9)·······················································1
(二)含有ax+b的积分（10～18）···················································5
（三)含有x±a
22
的积分
(19～21)····················································9
(四）含有ax2+b（a〉0）的积分（22~28)············································11
(五）含有ax2+bx+c(a〉0)
的积分
（29～30）········································14
（六）含有x2+a2(a〉0）的积分（31～44）·········································15
(a>0)的积分(45~58）·········································24
（八）含有a2−x2（a〉0)的积分（59～72)·········································37
(七）含有x
−a
22
（九)含有±a+bx+c（a〉0)的积分（73～78）····································48
2
（十）含有±
x−a
x−b
或
（x−a）（b−x)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a〉0）（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
（十五)含有双曲函数的积分
（132～136)··········································78
（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
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团队人员
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