求下列反常积分http://static.jiandati.com/32c48d3-chaoxing2016-993070.png

求下列不定积分：∫coth⁴xdx

<img src='https://img2.soutiyun.com/ask/2020-12-20/977328821805932.png' />

求下列不定积分：∫sin²6xsin²3xdx

<img src='https://img2.soutiyun.com/ask/2020-12-08/97628624537366.png' /> <img src='https://img2.soutiyun.com/ask/2020-12-08/97628627667845.png' />

<img src='https://img2.soutiyun.com/ask/2020-12-10/976481273242772.png' />

求下列不定积分：∫(x³+x)arccotxdx

求下列不定积分：∫xarcsin(x-1)dx

<img src='https://img2.soutiyun.com/ask/2020-08-11/966013448299817.png' />

讨论反常积分<img src='https://img2.soutiyun.com/ask/2020-11-30/975594851517965.png' />λ取何值时绝对收敛或条件收敛.

<img src='https://img2.soutiyun.com/ask/2021-01-13/97940533976783.jpg' />

<img src='https://img2.soutiyun.com/ask/2020-08-10/965925876784095.png' />

计算无穷限反常积分<img src='https://img2.soutiyun.com/ask/uploadfile/9819001-9822000/1978c170f4ccad8e827117635aa2fafa.png' />.

<img src='https://img2.soutiyun.com/ask/2020-12-28/977993945514249.jpg' /> <img src='https://img2.soutiyun.com/ask/2020-12-28/977993961306152.jpg' /> <img src='https://img2.soutiyun.com/ask/2020-12-28/977994003441562.jpg' />

A．A.t≥0 B．B.t≥1 C．C.t＞1 D．D.t＞0

计算下列无界函数的反常积分(发散也是一种计算结果): <img src='https://img2.soutiyun.com/ask/2020-12-16/976980402679191.png' />

已知<img src='https://img2.soutiyun.com/ask/2021-01-13/979416083675346.png' />试利用此结果求下列积分: <img src='https://img2.soutiyun.com/ask/2021-01-13/97941610087333.png' /> <img src='https://img2.soutiyun.com/ask/2021-01-13/979416110911904.png' />

<img src='https://img2.soutiyun.com/ask/2020-11-02/973173912091949.png' />

<img src='https://img2.soutiyun.com/ask/2021-02-02/981107891707849.png' />