利用第一型曲线积分求旋转曲面面积注记

Notes on the Calculation about the Area of Rotation Surface Using First Type Curvilinear Integral

将利用第一型曲线积分计算坐标平面上曲线绕定直线旋转的旋转曲面面积的方法推广到求空间曲线绕空间中定直线旋转的旋转曲面面积,丰富了求旋转曲面面积教学的内容.

As the extension of computing the area of rotation surface generated by a smooth plane curve around a fixed line u sin g first type curvilinear integral,a method of calculating the area of rotation surface generated by a smooth spatial curve around a spatial line is obtained in this paper.This research enriches teaching contents of rotation surface.