交换二重积分的次序/ananas/latex/p/573228

A . 正确 B . 错误

A .https://assets.asklib.com/psource/2015102917011683633.jpg B .https://assets.asklib.com/psource/2015102917014467452.jpg C .https://assets.asklib.com/psource/2015102917032793192.jpg D .https://assets.asklib.com/psource/2015102917034437496.jpg

A . 直线的长度 B . 平面区域的面积 C . 曲顶立体的体积 D . 曲顶立体的表面积

A .https://assets.asklib.com/psource/2015102908463839977.jpg B .https://assets.asklib.com/psource/2015102908465216566.jpg C .https://assets.asklib.com/psource/2015102908470733418.jpg D .https://assets.asklib.com/psource/201510290847219913.jpg

A . 是这个矩形线的周长 B . 是以这个矩形为底面的锥体体积 C . 是这个矩形的面积 D . 是以这个矩形为底面的柱体表面积

A . 正确 B . 错误

A .https://assets.asklib.com/psource/2015102917174668011.jpg B .https://assets.asklib.com/psource/2015102917180844389.jpg C .https://assets.asklib.com/psource/2015102917183436761.jpg D .https://assets.asklib.com/psource/2015102917185022062.jpg

A . 外层积分变量是x B . 外层积分变量是y C . 内层积分变量是x D . 内层积分变量既可以是x也可以是y

A.对 B.错

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

计算二重积分<img src='https://img2.soutiyun.com/ask/uploadfile/9819001-9822000/7e7e913efe352aafa56c54d501987c2e.png' />，其中积分区域D是由直线x+y=2，y=x及y=0所围成的区域.

<img src='https://img2.soutiyun.com/ask/2020-11-25/975176796384511.png' />

二次积分<img src='https://img2.soutiyun.com/shangxueba/ask/17676001-17679000/17676154/2015102917004746434.jpg' />交换积分次序后的二次积分是（）。 A．<img src='https://img2.soutiyun.com/shangxueba/ask/17676001-17679000/17676154/2015102917011683633.jpg' /> B．<img src='https://img2.soutiyun.com/shangxueba/ask/17676001-17679000/17676154/2015102917014467452.jpg' /> C．<img src='https://img2.soutiyun.com/shangxueba/ask/17676001-17679000/17676154/2015102917032793192.jpg' /> D．<img src='https://img2.soutiyun.com/shangxueba/ask/17676001-17679000/17676154/2015102917034437496.jpg' />

设积分区域B<img src='https://img2.soutiyun.com/ask/2019-07-12/931776883064311.png' />，则二重积分<img src='https://img2.soutiyun.com/ask/2019-07-12/931776894920166.png' />=()。 A.<img src='https://img2.soutiyun.com/ask/2019-07-12/931776917633624.png' /> B.<img src='https://img2.soutiyun.com/ask/2019-07-12/931776930144516.png' /> C.<img src='https://img2.soutiyun.com/ask/2019-07-12/931776945871192.png' /> D.<img src='https://img2.soutiyun.com/ask/2019-07-12/931776970580355.png' />

将二重积分<img src='https://img2.soutiyun.com/ask/2021-01-19/979920905720396.png' />按两种次序化为累次积分，积分区域D分别给定如下： (1)D由曲线y=x³与直线y=1，x=-1所围成，如图7-21所示; (2)D由圆x²+y²≤4所围成，如图7-22所示; (3)D由直线y=2x，y=0及x=3所围成，如图7-23所示. <img src='https://img2.soutiyun.com/ask/2021-01-19/97992096192361.png' />

设积分区城为D=|(x,y)}0≤x≤1,0≤y≤1}.计算二重积分 <img src='https://img2.soutiyun.com/ask/2021-01-10/979148559653565.png' />

<img src='https://img2.soutiyun.com/ask/2020-12-22/977523701056398.png' />

把二重积分<img src='https://img2.soutiyun.com/ask/2020-12-28/978029335533442.png' />在直角坐标系中分别以两种不同的次序化为累次积分,其中(σ)为 <img src='https://img2.soutiyun.com/ask/2020-12-28/978029405558447.png' />