[00:00] intro
[00:44] example
[07:22] example with a mixed substitution
[17:18] lucky substitution
[20:25] substitution and a definite integral
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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).