New Calculus Video Playlist - Power Series Representation With Natural Logarithms - Calculus 2

This calculus 2 video tutorial explains how to find the power series representation of logarithmic functions specifically natural logarithms with ln(1-x^2) as an example. You need to use the properties of logarithms to express the single logarithm as a sum of two logarithm and then express each log as an integral of a rational function. At this point, you can represent each rational function as a geometric power series which can be integrated and recombined to form the power series for ln(1-x^2). Series Tests - Practice Problems: https://www.youtube.com/watch?v=0YeON4p0ogw Taylor & Maclaurin Polynomials: https://www.youtube.com/watch?v=urPIxvNBXF0 Taylor's Remainder Theorem: https://www.youtube.com/watch?v=lY0LzJXTgeo Power Series - Interval Convergence: https://www.youtube.com/watch?v=EGni2-m5yxM Power Series - Derivatives & Integrals: https://www.youtube.com/watch?v=nD6hai32ykQ ___________________________________ Power Series - Function Representation: https://www.youtube.com/watch?v=54yldObvvwY Finding The Power Series: https://www.youtube.com/watch?v=PmHaNjDBh_c Power Series - Representation By Integration: https://www.youtube.com/watch?v=0HyM3nM87mk Power Series - Representation By Natural Logs: https://www.youtube.com/watch?v=A6JdlY52NFg Taylor & Maclaurin Series: https://www.youtube.com/watch?v=LDBnS4c7YbA Binomial Series: https://www.youtube.com/watch?v=V1AKAkGJlN8 ____________________________________ Parametric Equations: https://www.youtube.com/watch?v=97pe-QlSGqA Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections