摘要
给出了运用定积分水平面图形绕任一直线旋转一周所产生的旋转体体积及侧面积的计算公式,并就旋转平面的不同情况,分别用Guldin第二定理及积分学的微元法思想给出详细的证明.
Give formulae to calculate volume and side area of a kind of revolutionusing difinite integral that the solid of revolution is prduced by a face(above the line) rotating around any line,and give the detailed proof of them,using Guldin 2th Theorem and the analysis idea about different cases of the rotating face.
出处
《辽宁师范大学学报(自然科学版)》
CAS
1994年第3期258-261,共4页
Journal of Liaoning Normal University:Natural Science Edition
关键词
定积分
旋转体
距离函数
体积
面积
ifinite integral,solid of revolution,distance function