Mathematical formulas

Calculus II

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Sections

  • 1Notation, domains and conventions▸
  • 2Indefinite integral and properties▸
  • 3Definite integral and Fundamental Theorem of Calculus▸
  • 4Substitution method▸
  • 5Integration by parts▸
  • 6Trigonometric integrals▸
  • 7Trigonometric substitution and quadratic radicals▸
  • 8Rational functions and partial fractions▸
  • 9Improper integrals▸
  • 10Applications of the integral▸
  • 11Numerical integration▸
  • 12Parametric curves▸
  • 13Polar coordinates▸
  • 14Sequences and series▸
  • 15Power series and Taylor series▸
  • 16Elementary differential equations▸
  • 17Guide to choosing a method▸
  • AAppendix A: extensive table of antiderivatives▸
  • BAppendix B: useful equivalences
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Calculus II

Calculus II

Integral Calculus — formulas, methods and applications

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Index

17 main sections and 2 appendices.

  1. 1Notation, domains and conventionsView →
  2. 2Indefinite integral and propertiesView →
  3. 3Definite integral and Fundamental Theorem of CalculusView →
  4. 4Substitution methodView →
  5. 5Integration by partsView →
  6. 6Trigonometric integralsView →
  7. 7Trigonometric substitution and quadratic radicalsView →
  8. 8Rational functions and partial fractionsView →
  9. 9Improper integralsView →
  10. 10Applications of the integralView →
  11. 11Numerical integrationView →
  12. 12Parametric curvesView →
  13. 13Polar coordinatesView →
  14. 14Sequences and seriesView →
  15. 15Power series and Taylor seriesView →
  16. 16Elementary differential equationsView →
  17. 17Guide to choosing a methodView →

Appendices

  • Appendix A: extensive table of antiderivatives
  • Appendix B: useful equivalences

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