用定积分计算旋转体体积的教学探讨

Teaching Discussion on Calculating of the Volume of Rotating Body

讨论平面图形绕不同坐标轴旋转所形成旋转体的体积问题,给出了一组计算公式,不仅对定积分的应用进行了推广,而且对于认识各类旋转体,计算旋转体的体积都有很大的帮助.

The paper discussed the volume of rotating body which was formed through planar grap h′s rotation around the axes.A group of formulae were given netonly to spread the application of definite integral but also to belp understand various tpes of rotating bodies and calculate the volume of rotating body.