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.
Overview
Syllabus
Integration by Parts :: Integral of arctan(1/x) from 1 to sqrt(2)..
Integral of csc^5(theta) cos^3(theta) :: Trigonometric Integrals.
Trigonometric Substitution Definite Integral :: sqrt(1-4x^2).
Integral of sec^2(y) cos^3(tan(y)) :: Trigonometric Integrals.
Stewart Calculus Section 7.5 Odd Problems #9-31 :: Techniques of Integration Examples.
Stewart Calculus 7th Edition Section 7.5 :: Even Problems 2 - 32.
∫x^2 dx from 0 to 1... Using a different approach!.
2021 Integration Bee Integral.
Taught by
Jonathan Walters
