积分表积分公式推导

高等数学

积分表 公式推导

目 录

（一）含有 ax + b的积分

····1

（1~9）·················································

（二）含有 ax + b的积分（三）含有 x ± a

2 2

（10~18）················································的积分

（19~21）···················································9

·5

（五）含有 ax2 +bx +c (a的积分 > （四）含有 ax2 +b (a > 0)的积分0) （29~30）·························

（六）含有 x 2 + a 2···············14 (a > 0)的积分

（ （22~2831~44）············································11）·········································15

（七）含有

x

− a

2 2

(a > 0)的积分

（45~58）···································

（九）含有 ± a +bx + c (a > 0)的积分

····24 （73~78）····································48

（八）含有 （79~82）···························51

（十一）含有三角函数的积分 （83~112）··························（59~72）·········································37 （十）含有 ·················55±

（十二）含有反三角函数的积分（其中 a>0)

（113~121）·······················68

x − a

或 ( x − a)(b − x)的积分x − b a 2 − x 2 (a > 0)的积分2

（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）··························

（十六）定积分 （142~147）····································

················80

························81

附录：常数和基本初等函数导数公式 ·························

················85

···································86

说明 ·················································

································87

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