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key term - Algebraic function

Definition

An algebraic function is a function that can be defined as the root of a polynomial equation whose coefficients are themselves polynomials. Algebraic functions include polynomials, rational functions, and roots of polynomials.

5 Must Know Facts For Your Next Test

  1. Algebraic functions can often be simplified using algebraic techniques before applying integration methods.
  2. Integration by parts may be necessary when integrating products of algebraic functions.
  3. Algebraic substitution is a common technique used to simplify integrals involving algebraic functions.
  4. The integral of an algebraic function can sometimes be expressed in terms of elementary functions.
  5. Partial fraction decomposition is useful for integrating rational algebraic functions.

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