用定积分换元法计算定积分[tex=7.786x2.286]NVV4xGw4CIQfV+bzKPp4XYx/bHmSwB2AvkPmiY3FqWm0GyOuQh4mATA2vjNjYasR[/tex]。
知识点：定积分的运算解：设[tex=4.286x1.286]+umUT10eMIr9ani71vNMGA==[/tex]则[tex=21.929x8.071]HImcpD5oH7HlUwvgLg3zhteJQZNKxyGHSaaS8E7Ghyu8eNIwLGBibkpIvjR2IngdeOmS6pWRecgduEFd6R/fS6QtIb8Yy2mj+nEBRNUaxMBeYm41WLCd6bYxbjRssYPV6JOQMAZ6WH47oEMr7MYDTijJ8YbFegVYHvEnyh93Z4c9a6TJUs1yiXH09B0mEtI/Aai4S+oNN98G2EpHptYFzg3slrAiTYb/yrZoaesdwAi/dQCNR77rsJK90+ij7YwtjCMWe7y3Qb7K3HOcQNDnQa5lowjOUhi3waIcsxOXEGuUD1xLWr9mA0qgosPhYBgr5MXNwd5CGHnmjoxtUeDu7EGr8tFWg00sIPjmmmhTrWM=[/tex]在利用换元法，令[tex=2.714x1.286]krmIW8VjR5xwBfKjfjwCag==[/tex]，则原式[tex=10.0x2.357]BrbzKWSEjbM8LzTCJzYLZZOf4yhDLP4x9jOwiXOhOINkIGgdqSStWwxbLU/WNM/D4svWv8CqGHsx4PODpTa+/A==[/tex][tex=10.571x2.143]n4U7ls9nbg2FVDA9YS1fWf6rU50F8lm+kzTGWwtltR2L7Oy8zjU58/uwJ26xa8UIdYPS86Z8EWqMlGhl1NvO9D1yi8znPoCscLgGmdzwvklPBaz/mnhS1Bo5R4ZPXWiS[/tex]
举一反三
- 用定积分换元法计算定积分[tex=6.071x2.5]quyKetznrNxdaNQjt8Trhw1co8Sd9bymvPtFEIPCdCUMh52alwxNl1mL1xu9Mu03[/tex]。
- 用定积分换元法计算定积分[tex=7.571x2.429]AhknwUQKr9bZyRUB8xtoBFlHlj04ogXiswLQaZdzTMu8yTtWz/eHhlwOWR0diQ0j4riB8NpFB/Ve1IA3gLEeOg==[/tex]。
- 用定积分的换元法计算下列积分：[tex=7.857x2.643]oTycNkqsw/9PYixNe16fex/2/qrfzyKusEtpEUGZkAK1pAxHMvzNyokrKlMdoOnP[/tex]
- 用定积分换元法计算下列定积分：[br][/br][tex=6.857x2.429]/gTipYodITWi1ZaplQ4Cs0NkNWRyvRyZmbKT01kT+4RkLEsFeWd71Wz+tOyz1OyA[/tex]；
- 用定积分换元法计算下列定积分：[br][/br][tex=6.929x2.571]qa+jvGRasaffBYPL4r9nw1YLmqwN/29gmkRfK6GqqvMNgkkqKqm+2xeBpxdG8Faw[/tex]；
内容
- 0
用定积分换元法计算下面定积分：[br][/br][tex=8.214x2.429]Wtk0f0VUi9Y4xEAeVMwAC6HCrRSFT/rlsgzqVnhYyyuBRWd6hZr/o9MQUWsu6NTA3MzGI4Lpyu+ixM0bY5DVIQ==[/tex]；
- 1
用定积分的换元法计算积分：[tex=4.786x2.857]vZDOHPPFbaKHfV4LXE21tslasRz3ZDwf9TCefe5zB2tany1fX/BT22NalZGqAJAV[/tex]
- 2
用定积分的换元法计算积分：[tex=6.071x2.786]tkvB/yDwaVhsElN27LV5tzID2QVOPB5oaZ9yC7sK5ziNPY5q+WWiK7IgjibxXmNg[/tex]
- 3
用定积分的换元法计算积分：[tex=6.429x2.857]uBGT4Nt832AmQgX0Zp8/SkYbCuNWdUUk8ZxSn5QSt+xAg4xOCIHZDezWa0U2Yo1R[/tex]
- 4
用定积分的换元法计算积分：[tex=8.929x2.786]s1b1uUpHFXk78mxB3L2JgLR4ai4xFrih59W7YTVXt1/GiZSea7QJvHlNJEjK6A3jCfppH5qLp8rjyznqKCm7Zw==[/tex]