Calculus 2 - Integral Test For Convergence and Divergence of Series (Patreon)

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This calculus 2 video tutorial provides a basic introduction into the integral test for convergence and divergence of a series with improper integrals. To perform the integral test, let the sequence be equal to a function that is continuous, positive, and decreasing on the interval [1, infinity). If these conditions are met, then the infinite series will converge if the definite integral from 1 to infinity converges. If the integral test is divergent, then the series is divergent as well. Examples and practice problems include integration techniques such as u-substitution, power rule for integration, trigonometric substitution which leads to inverse tangent functions, and completing the square before integration. The divergent harmonic series is included in this video as well. My Website: https://www.video-tutor.net Patreon Donations: https://www.patreon.com/MathScienceTutor Amazon Store: https://www.amazon.com/shop/theorganicchemistrytutor Subscribe: https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA?sub_confirmation=1 Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Disclaimer: Some of the links associated with this video may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.