Solution of IDZ Ryabushko 8.4 - Option 10

Section: Chapter 8. Indefinite Integral
Topic: Indefinite Integral: complex substitutions and special techniques
Description: Calculation of indefinite integrals of rational, trigonometric and irrational functions using the universal trigonometric substitution, substitutions for irrationalities, the method of undetermined coefficients, as well as combined methods. Includes integrals that cannot be reduced to tabular ones by standard techniques.

Tasks:
Includes 6 subtopics: universal trigonometric substitution, substitutions for irrational functions, integration of rational fractions with decomposition into partial fractions, integration by parts, completing the square
Solution methods: universal substitution t = tg(x/2); change of variable for roots; method of undetermined coefficients; integration by parts; completing the square

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