Integration by Partial Fractions | Big Idea + First Example
Integration by Partial Fractions is a little algebraic trick that converts rational functions (polynomial over polynomial) into something we can integrate fairly easily. Indeed, this algebra is a bit like "undoing" a lowest common denominator. We make a particular guess of the form, and this sets up a system of linear equations you can solve. In this first video, we're only going to focus on the case where the denominator can be factored as a product of nonrepeating linear factors. In the next video we will talk instead about irreducible quadratics, and repeated terms. **************************************************** YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems! **************************************************** ►Full Course Playlist: CALCULUS II: • Calculus II (Integration Methods, Series, ... **************************************************** Other Course Playlists: ►CALCULUS I: • Calculus I (Limits, Derivative, Integrals)... ►DISCRETE MATH: • Discrete Math (Full Course: Sets, Logic, P... ►LINEAR ALGEBRA: • Linear Algebra (Full Course) *************************************************** ► Want to learn math effectively? Check out my "Learning Math" Series: • 5 Tips To Make Math Practice Problems Actu... ►Want some cool math? Check out my "Cool Math" Series: • Cool Math Series ***************************************************** ►Check out my 2nd Channel for lower production quality "live" math videos: / @drtreforuvic ***************************************************** ►Follow me on Twitter: / treforbazett ***************************************************** This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati. #calculus #math BECOME A MEMBER: ►Join: / @drtrefor MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
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