This project studies integral methods for solids of revolution and their physical applications. It reviews basic concepts of calculus, including integration techniques and definite integrals. The work focuses on finding volumes using the shell and washer methods, as well as related topics such as area between curves and surface area. Several examples are presented to illustrate these methods. The study shows how integral calculus can be applied to solve practical problems in physics and engineering. Through analytical examples and applications, this work demonstrates how integral calculus provides powerful and precise tools for modeling and solving real-world problems. The results highlight the importance of integral methods in both theoretical mathematics and applied sciences. Keywords: Integrals; Area; Volume; Surface.
