[00:00] intro
[01:23] partial fractions, example
[13:27] example with a squared linear factor
[22:53] example with a quadratic factor
[32:47] proper and improper rational functions
See also “Integral 3” [https://youtu.be/oHyPx8p4--c] ➝ lucky substitution at 17.14 and “Integral 4” [https://youtu.be/cyIr-EyPqhg].
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In this series of videos (https://www.youtube.com/playlist?list=PLQL6z4JeTTQmMGWJeex5vvAqvgM2GCrWK) we will look at the popular calculus topics – limits, derivatives and integrals – from a practical point of view.
We assume that the viewer already saw the usual intro (theorems, outlines of basic methods), and we will combine them into practical approaches and procedures for solving standard problems.
Further exposition, solved problems, and exercises with step-by-step hints can be found in Math Tutor (http://math.feld.cvut.cz/mt).