That is what a double integral means.
这也就是二重积分的意义。
But let's do it as a double integral.
但是让我们用二重积分来做。
Now, how do we compute that double integral?
那么，怎么计算这个二重积分呢？
How do you express the area as a double integral?
如何用二重积分来表示面积呢？
We will end up with double integral on S of z dxdy.
求S上zdxdy的二重积分。
This side here is a usual double integral in the plane.
这边是平面上普通的二重积分。
You know how to compute a double integral of a function.
要懂得如何计算一个函数的二重积分。
Now I have everything I need to compute my double integral.
至此我已经得到了，用来计算二重积分的所有量。
The area R is the double integral over R of a function one.
区域R的面积是函数1在R上的二重积分。
We've seen various formulas for how to set up the double integral.
我们已经学过，如何建立这种二重积分的公式。
Use geometry or you need to set up for double integral of a surface.
总之，就是用几何方法或是在曲面上建立二重积分。
The double integral side does not even have any kind of renaming to do.
没有必要对二重积分重新命名了。
Because a surface is a two-dimensional object, that will end up being a double integral.
由于表面是二维的，所以结果是二重积分。
With double motor, its speed can be fast adjusted for the integral machine.
双速马达装置，适应调整校机快速。
With double motor, its speed can be fast adjusted for the integral machine.
双速马达装置，适应调整校机快速。
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