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Improper integrals let's us integrate function when infinity is involved. This could come about because of an infinite domain, such as the integral from 1 to infinity of some function. But it can also occur if there is a vertical asymptote in the domain. While we might initially guess anything with infinities results in infinite area, indeed many such regions actually converge to a finite value. To study this we look at so called p-integrals, integrals of functions of the form 1/x^p. Depending on the value of p, these integrals converge or diverge. **************************************************** 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