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]；
解 原式[tex=17.357x2.5]kDz2nFL0zu2kIfADoFUAWin7Ixn19tyCJP0ay0U1T1Z2DSq/1UvcOUEfsB+T1FU2SyXsO9Rz828GHrGCuJbb+T9Qj1YXjF6WL7SBP9DsZvg//j0jzOoNysjaIAclWjOmKG0skX8RcqIyJ1yVWLI1601uI1HUz79+p3+qrfhkG95Eylg457RQzQ+SiEWzt1VM[/tex][tex=15.143x2.5]XGbeD3E7PziVHFJXqstqn91J+ylf7C+qW/BKy2Q8NGSsaclYBn/qFFRJW1+PjyHEK0jgrQSzBtrcGbc+IEDbZh22rBnjjil+susovs4OpPo9ovtM1L37JCs9gUkLgPS5[/tex] [tex=15.143x2.643]K46nzl3f6hxzKEy7EitEJnopdnXQhTVPAGwxUOH9t3koEHzhf72VtyHlIzLuS3zilFnZaxNi0mA+3JRc55Yevn+4XU0AI0onkrMj7ql1byQKNpVqULG0sFXnChkq2Io0w3v5Qu9VU4gI/TVpSKwHR7K16hWE1TTbAMHlQvj2gKN6MjmlYem9Cl2oi6GBWr4kNoRXCv4XRpZ8zbUw07JYbA==[/tex]。
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举一反三
- 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面定积分：[br][/br][tex=8.214x2.429]Wtk0f0VUi9Y4xEAeVMwAC6HCrRSFT/rlsgzqVnhYyyuBRWd6hZr/o9MQUWsu6NTA3MzGI4Lpyu+ixM0bY5DVIQ==[/tex]；
- 用定积分的换元法计算下列积分：[tex=7.857x2.643]oTycNkqsw/9PYixNe16fex/2/qrfzyKusEtpEUGZkAK1pAxHMvzNyokrKlMdoOnP[/tex]
- 用定积分的换元法计算下列积分：[tex=6.429x2.857]h0oFNrNfDLkjvUWNl512sP+JRaF3yqtsW7cfeYwurI5brE1U0DZqaIj/cedvLIye[/tex]
- 用定积分的换元法计算下列各积分:[tex=5.571x2.857]Bm2NIAoSnKMUkqxiTyH+ZDepT3CcxGcwLIB9tuK1TF4wW6um979rrPzRisLWe4oZ[/tex]
内容
- 0
用定积分的换元法计算下列积分：[tex=5.5x2.786]h0oFNrNfDLkjvUWNl512sNCtvglpd7Qv7EOHFr17nZxXukh5siaTNJ2pi/JzopUJ[/tex]
- 1
用定积分换元法计算定积分[tex=6.071x2.5]quyKetznrNxdaNQjt8Trhw1co8Sd9bymvPtFEIPCdCUMh52alwxNl1mL1xu9Mu03[/tex]。
- 2
用定积分的换元法计算积分：[tex=4.786x2.857]vZDOHPPFbaKHfV4LXE21tslasRz3ZDwf9TCefe5zB2tany1fX/BT22NalZGqAJAV[/tex]
- 3
用定积分的换元法计算积分：[tex=6.071x2.786]tkvB/yDwaVhsElN27LV5tzID2QVOPB5oaZ9yC7sK5ziNPY5q+WWiK7IgjibxXmNg[/tex]
- 4
用定积分的换元法计算积分：[tex=6.429x2.857]uBGT4Nt832AmQgX0Zp8/SkYbCuNWdUUk8ZxSn5QSt+xAg4xOCIHZDezWa0U2Yo1R[/tex]