计算其中D由y=x,y=1/2x,x=2围成.

A .https://assets.asklib.com/images/image2/2017051116364554276.png B .https://assets.asklib.com/images/image2/2017051116365292949.png C .https://assets.asklib.com/images/image2/2017051116365956952.png D .https://assets.asklib.com/images/image2/2017051116370643662.png

A . （293／60）π B . π／60 C . 4π D . 5π

A .https://assets.asklib.com/psource/2015102917120475964.jpg B .https://assets.asklib.com/psource/2015102917122295048.jpg C .https://assets.asklib.com/psource/2015102917123985716.jpg D .https://assets.asklib.com/psource/2015102917125224591.jpg

计算三重积分<img src='https://img2.soutiyun.com/ask/2020-10-30/97291958752518.png' />其中Ω由圆锥面<img src='https://img2.soutiyun.com/ask/2020-10-30/972919603836112.png' />和球面x²+y²+(z-1)²=1所围成.

<img src='https://img2.soutiyun.com/ask/2021-01-10/979142709737969.png' />,D是由抛物线y=x²与0x轴和直线x=1围成的区域.(计算二重积分)

设二维随机变量(X，Y)在由直线x+y=π与两坐标轴围成的三角形区域D上服从均匀分布，求函数Z=XsinY的数学期望．

若<img src='https://img2.soutiyun.com/ask/2020-12-21/977393359641804.png' />则积分区域D可以是(). A.由x轴,y轴及x+y-2=0所围成的区域 B.由x=1,r=2及y=2,y=4所围成的区域 C.由|x|=<img src='https://img2.soutiyun.com/ask/2020-12-21/97739339367075.png' />,|y|= 所围成的区域 D.由|r+y|=1,|x-y|=1所围成的区域

由曲线y=x³,直线x=2,y=0所围成的图形,分别绕x轴及y轴旋转,计算所得的两个旋转体的体积(如图5-12). <img src='https://img2.soutiyun.com/ask/2020-11-02/973169822615045.png' />

计算<img src='https://img2.soutiyun.com/ask/2019-12-11/944947946681969.png' />，其中D为圆周x²+y²=9和x²+y²=1与直线y=x，y=0所围成的第一象限部分

计算二重积分<img src='https://img2.soutiyun.com/ask/2020-11-16/974405066984158.png' />其中D是由曲线 <img src='https://img2.soutiyun.com/ask/2020-11-16/974405083233088.png' />(a＞0)和直线y=-x所围成的区域.

计算<img src='https://img2.soutiyun.com/ask/2020-12-08/976286599693925.jpg' />，[1+x²+y²]表示不超过[1+x²+y²]的最大整数，其中D={(x，y)|x²+y²≤√2，x≥0，y≥0}。

设D是xoy平面上由曲线xy=1,直线y=2,x=1和x=2所围成的区域，试求<img src='https://img2.soutiyun.com/ask/uploadfile/9819001-9822000/573adb5b9c3482137fb05bc1e706d235.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.

计算二重积分：<img src='https://img2.soutiyun.com/ask/2020-09-25/969899151163992.png' />其中D由直线y=x，y=0，x=π/2所围成。

D域由x轴，x2+y2-2x=0（y≥0）及x+y=2所围成，f（x，y）是连续函数，转化<img src='https://img2.soutiyun.com/shangxueba/ask/17667001-17670000/17667782/2015102917113774223.jpg' />为二次积分为（）。 A．<img src='https://img2.soutiyun.com/shangxueba/ask/17667001-17670000/17667782/2015102917120475964.jpg' /> B．<img src='https://img2.soutiyun.com/shangxueba/ask/17667001-17670000/17667782/2015102917122295048.jpg' /> C．<img src='https://img2.soutiyun.com/shangxueba/ask/17667001-17670000/17667782/2015102917123985716.jpg' /> D．<img src='https://img2.soutiyun.com/shangxueba/ask/17667001-17670000/17667782/2015102917125224591.jpg' />

A．1/8 B．1/4 C．1/2 D．1

计算<img src='https://img2.soutiyun.com/ask/2020-12-09/976355118693535.jpg' />，其中L为第一象限中由x轴，y=x及x²+y²=4围成的曲线段。

A．1/8 B．1/4 C．1/2 D．1

计算<img src='https://img2.soutiyun.com/ask/2021-01-02/978464841600073.png' />其中D是由直线y=0;y=1及双曲线x²-y²=1所围成的闭区域

计算<img src='https://img2.soutiyun.com/ask/2020-12-08/976285825293632.jpg' />，其中D：x²+y²≤1。