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Topic 2. Substitution Method and Integration by Parts
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Факультет транспортних систем
Вищої математики, класичних і прикладних математичних дисциплін
Лектор к.п.н., доц. Пташний О.Д.
Higher mathematics 2 sem. Инженеры
Topic 2. Substitution Method and Integration by Parts
Section outline
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Topic 1. Antiderivatives and the Indefinite Integral
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Topic 3. Integration of Rational Fractions
Objective: To learn how to apply variable substitution when finding indefinite integrals.
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Topic 1. Antiderivatives and the Indefinite Integral
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General and educational information
Topic 1. Antiderivatives and the Indefinite Integral
Topic 2. Substitution Method and Integration by Parts
Topic 3. Integration of Rational Fractions
Topic 4. Integration of Trigonometric and Irrational Functions
Topic 5. Definite Integral
Topic 6. Applications of the Definite Integral
Topic 7. Double Integral
Topic 8. Triple Integral
Topic 9. Line Integrals
Topic 10. First-Order Differential Equations
Topic 11. Second-Order Differential Equations
Topic 12. Linear Second-Order Differential Equations with Constant Coefficients
Topic 13. Numerical Series. Series with Non-Negative Terms
Topic 14. Alternating Series
Topic 15. Power Series
Topic 16. Overview of Core Topics in "Introduction to Probability and Statistical Analysis"
Final Assessment
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Topic 3. Integration of Rational Fractions