U-Substitution vs Integration by Parts in Calculus - When to Use Each Method

Learn why u-substitution cannot be used as an alternative to integration by parts through a detailed mathematical explanation in this 14-minute calculus lecture. Explore the fundamental differences between these integration techniques, understand the mathematical reasoning behind why certain integrals specifically require integration by parts, and receive a practice assignment to reinforce the concepts. Master integration techniques in calculus with clear examples and step-by-step explanations from an experienced mathematics professor.