Dive into advanced integration techniques in this comprehensive 2.5-hour tutorial. Master integration by parts, tackle complex trigonometric integrals, and explore trigonometric substitution for definite integrals. Work through challenging problems from Stewart Calculus Section 7.5, including odd problems #9-31 and even problems 2-32. Learn alternative approaches to solving integrals, such as ∫x^2 dx from 0 to 1, and prepare for integration competitions with a 2021 Integration Bee integral. Enhance your calculus skills with practical examples and in-depth explanations of various integration methods.