Change of Variables: Examples

This lecture covers various examples of using the change of variable formula, starting with integrals over regions defined by inequalities involving x, y, and their transformations. The instructor demonstrates how to apply the change of variables formula to simplify the integration process, leading to solutions involving polar and spherical coordinates. Through step-by-step explanations, the lecture illustrates how to handle complex domains and integrands by transforming them into simpler forms suitable for integration.