2016/09/04 by Yi Liu, Jingwei Liu, Liu, Yi +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Theories #Aerospace Engineering and Control Systems #Classical Analysis and ODEs (math.CA) #Computational Geometry (cs.CG) #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Mechanical Engineering and Vibrations Research #cs.CG #cs.CV #math.CA
paper · pdf · doi:10.48550/arxiv.1609.04771
7 pages,6 figures
arxiv created 2016/09/04 · openalex publication_date 2016/09/04 · arxiv updated 2019/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A calculation formula of volume of revolution with integration by parts of definite integral is derived based on monotone function, and extended to a general case that curved trapezoids is determined by continuous, piecewise strictly monotone and differential function. And, two examples are given, ones curvilinear trapezoids is determined by Kepler equation, and the other curvilinear trapezoids is a function transmuted from Kepler equation.