INDEFINITE INTEGRALS: KEY METHODS
In this video, we'll learn how to find indefinite integrals.
We'll briefly discuss the problem, provide definitions, and examine a simple property of linearity.
And then we'll move on to the main point – the change-of-variable method! We'll not only solve a variety of problems, but also discuss when this method is especially relevant and examine the most common and important scenarios.
After that, we'll move on to studying indefinite integrals of fractional rational functions. Here we'll work with polynomials—we'll learn how to factor them into sums of simpler fractions using the method of undetermined coefficients (in two ways).
You'll also find a link to free materials for this video: notes and homework with answers. Here it is: https://zhestkov.online/public/course...
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00:00 Start
00:52 About indefinite integrals
02:02 Motivation, definition, linearity
05:16 Variable substitution method
07:50 Basic substitution scenarios
09:40 Almost tabular arctangent
11:51 Integrals of fractional rationals Functions
14:46 Example of an integral of a quotient of polynomials
16:56 Conclusion
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