高等数学
积分表
公式推导


（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
2          2
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  x  2  + a 2  (a  > 0)的积分（31~44）·········································15
(a > 0)的积分（45~58）·········································24
（八）含有  a 2 −  x 2  (a  > 0)的积分（59~72）·········································37
（七）含有  x
−  a
2            2
指数函数积分
（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
·····················································································86
团队人员
··············································································87

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