Content: 8.4 - 15.pdf (68.19 KB )
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Description

  • Solution of IDZ Ryabushko 8.4 - Option 15

  • 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

  • The finished solution includes:
  • • Complete solution of all 9 tasks of the option
  • • Detailed explanations for each step
  • • All formulas and calculations
  • • Format of your choice: PDF or Word (editable)
  • • Available for download immediately after payment

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