Volume of Solids: Applications in Integration

This lecture covers the calculation of volumes of solids using integration, focusing on examples such as the volume of a cone and solids of revolution. It explains how to obtain a solid of revolution by rotating a region around an axis, and how to calculate the volume using infinitesimal slices. The lecture also includes examples of regions delimited by functions and axes, as well as the volume calculation for specific shapes. Additionally, it explores parametric equations for curves and their volumes, providing examples with trigonometric functions.