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广义积分
https://assets.asklib.com/psource/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
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下列广义积分收敛的是()。
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
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下列广义积分发散的是()。
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">
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()首先给出了微积分无穷级数收敛性的判别法。
A、丹尼尔·伯努利
B、奥古斯丁·路易·柯西
C、雅各布·伯努利
D、路易吉·圭多·格兰第
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广义积分
https://assets.asklib.com/images/image2/2017051119112281376.jpg
,下面说法正确的是()。
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
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下列广义积分中发散的是()。
A .https://assets.asklib.com/psource/2015102916524112971.jpg
B .https://assets.asklib.com/psource/2015102916530378081.jpg
C .https://assets.asklib.com/psource/2015102916532976384.jpg
D .https://assets.asklib.com/psource/2015102916534429085.jpg
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下列广义积分中收敛的是()。
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
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当在有界区间上存在多个瑕点时,在上的反常积分可以按常见的方式处理:例如,设是区间上的连续函数,点都是瑕点,那么可以任意取定,如果反常积分同时收敛,则反常积分收敛。()
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下列广义积分中,收敛的是()
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以下反常积分收敛的有( )
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已知广义积分收敛于1(k>0),则k=().
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' />
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判断下列各广义积分的敛散性,若收敛,计算其值:<img src='https://img2.soutiyun.com/ask/2020-02-20/951076511215764.png' />
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讨论下列积分的收敛性:
<img src='https://img2.soutiyun.com/ask/2021-01-25/980436331788089.png' />
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讨论反常积分λ取何值时绝对收敛或条件收敛.
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.
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将幂级数(3.2. 1)逐项积分,求所得级数的收敛半径,以此验证逐项积分不改变收敛半径,
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证明:若无穷积分绝对收敛,函数φ(x)在[a,+∞)单调有界,则无穷积分收敛.
证明:若无穷积分<img src='https://img2.soutiyun.com/ask/2020-11-13/97414103002922.jpg' />绝对收敛,函数φ(x)在[a,+∞)单调有界,则无穷积分<img src='https://img2.soutiyun.com/ask/2020-11-13/974141041163856.jpg' />收敛.
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广义积分[图],则计算后是下列中哪个结果()?A. I=1B. I...
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
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判别下列广义积分的收敛性:
<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' />
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讨论下列瑕积分的收敛性:
<img src='https://img2.soutiyun.com/ask/2021-02-05/981387122661124.png' />
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证明:0<λ<1,无穷积分都条件收敛.
证明:0<λ<1,无穷积分<img src='https://img2.soutiyun.com/ask/2020-11-13/974141104841498.png' />都条件收敛.
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计算下列广义重积分之值:
<img src='https://img2.soutiyun.com/ask/2021-01-27/980593228129949.png' />
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讨论下列无穷积分的收敛性.
<img src='https://img2.soutiyun.com/ask/2021-02-05/98138654039982.png' />
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说明下列含参变量反常积分在指定区间上非一致收敛:
<img src='https://img2.soutiyun.com/ask/2021-02-02/981107891707849.png' />