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▸
    • 6.1Fundamental identities
    • 6.2Double-angle and power-reduction identities
    • 6.3Product-to-sum
    • 6.4Strategy for ∫sin⁡mxcos⁡nx dx\int\sin^m x\cos^n x\,dx∫sinmxcosnxdx
    • 6.5Strategy for ∫tan⁡mxsec⁡nx dx\int\tan^m x\sec^n x\,dx∫tanmxsecnxdx
    • 6.6Strategy for ∫cot⁡mxcsc⁡nx dx\int\cot^m x\csc^n x\,dx∫cotmxcscnxdx
    • 6.7Basic trigonometric integrals
    • 6.8Hyperbolic functions
  • 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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Trigonometric integrals

Trigonometric integration section: identities, products of sines and cosines, and strategies.

Related sections

  • 6. Trigonometric integrals

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