下列广义积分中发散的是（）。

A . I=1 B . I=-1 C . I=1／2 D . 此广义积分发散

A . 正确 B . 错误

A . t≥0 B . t≥1 C . t>1 D . t>0

A .https://assets.asklib.com/images/image2/2017051116003216440.png B .https://assets.asklib.com/images/image2/201705111600412240.png C .https://assets.asklib.com/images/image2/2017051116005363651.png D .https://assets.asklib.com/images/image2/201705111601045755.png

A、<img src="https://p.ananas.chaoxing.com/star3/origin/3942bd6f39135cab420204a97119ee81.png"> B、<img src="https://p.ananas.chaoxing.com/star3/origin/2913758887dd3d8224ebfdf1eac66945.png"> C、<img src="https://p.ananas.chaoxing.com/star3/origin/4a6ae8baf11467104d967e608306ba24.png"> D、<img src="https://p.ananas.chaoxing.com/star3/origin/b20f3667301b0492cb88033598283a82.png">

A . 武汉市是否是华中地区最大的城市 B . 请说出世界上人口最多的国家 C . 假如太阳请假，世界会变成什么样 D . 什么是心理学

A . 正确 B . 错误

A . 当p=1收敛，p≠1发散 B . 当p=1发散，p≠1收敛 C . 当p＞1收敛，p≤1发散 D . 当p＞1发散，p≤1收敛

A .https://assets.asklib.com/psource/2015102916541368162.jpg B .https://assets.asklib.com/psource/2015102916542663696.jpg C .https://assets.asklib.com/psource/2015102916544195401.jpg D .https://assets.asklib.com/psource/2015102916545395159.jpg

A．<img src='https://img2.soutiyun.com/shangxueba/ask/1926001-1929000/1928340/ct_jgzjgysm_jgzjgyschoose_00853(20093)1.jpg' /> B．<img src='https://img2.soutiyun.com/shangxueba/ask/1926001-1929000/1928340/ct_jgzjgysm_jgzjgyschoose_00853(20093)2.jpg' /> C．<img src='https://img2.soutiyun.com/shangxueba/ask/1926001-1929000/1928340/ct_jgzjgysm_jgzjgyschoose_00853(20093)3.jpg' /> D．<img src='https://img2.soutiyun.com/shangxueba/ask/1926001-1929000/1928340/ct_jgzjgysm_jgzjgyschoose_00853(20093)4.jpg' />

已知广义积分<img src='https://img2.soutiyun.com/ask/2020-12-20/977344836478918.png' />收敛于1(k＞0),则k=(). <img src='https://img2.soutiyun.com/ask/2020-12-20/97734484769256.png' />

广义积分<img src='https://img2.soutiyun.com/shangxueba/ask/17667001-17670000/17668564/2015102711243320187.jpg' />，则计算后是下列中哪个结果（）？ A．I=1 B． I=-1 C． I=1／2 D． 此广义积分发散

<img src='https://img2.soutiyun.com/ask/2020-08-19/9666965590397.png' /><img src='https://img2.soutiyun.com/ask/2020-08-19/966696565618076.png' /><img src='https://img2.soutiyun.com/ask/2020-08-19/966696572187452.png' /><img src='https://img2.soutiyun.com/ask/2020-08-19/966696579021843.png' />

A．A.t≥0 B．B.t≥1 C．C.t＞1 D．D.t＞0

设f(x,y)在[a,+∞;c,d]连续，对[c,d)上每一个<img src='https://img2.soutiyun.com/ask/2021-01-27/98058817504593.png' />收敛，但积分在y= d发散.证明这积分在[c,d]非一致收敛。

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' />

设<img src='https://img2.soutiyun.com/ask/2021-01-28/980692750486118.png' /> (1)证明f(x)在[0,+∞)上可导，且一致连续; (2)证明反常积分<img src='https://img2.soutiyun.com/ask/2021-01-28/980692795149672.png' />发散。

<img src='https://img2.soutiyun.com/ask/2021-01-27/980593228129949.png' />