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High number | summary of calculation methods of volume of rotating body, double integral calculation of volume of rotating body
2022-07-05 17:03:00 【Xipi yo】
The so-called rotating body , It refers to a three-dimensional figure formed by a plane figure rotating around a straight line in the plane , The volume of the rotating body is the volume of the solid figure .
One 、 Calculation method of volume of rotating body
Two 、 Volume calculation methods of other types of rotating bodies
1. Two curves form a region around x Volume of the rotating body of the shaft ( Disjoint )
2. Two curves form a region around y Volume of the rotating body of the shaft ( The intersection )
3. The plane figure is wrapped around y Calculation of the volume of the rotating body of the shaft
4. The rotation axis is not the type of coordinate axis
Within the scope of postgraduate entrance examination , Even if the axis of rotation is not the horizontal and vertical axis , It is also a straight line parallel to the coordinate axis .
There are two ways to deal with : Infinitesimal method and translational method .
3、 ... and 、 Calculate the volume of a rotating body by double integral
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