• Titu Andreescu
  • Cristinel Mortici
  • Marian Tetiva


An antiderivative of the function f: I ⊆  →  is a differentiable function F: I → , such that F  = f. If F is an antiderivative of f, then F + c is also an antiderivative of the function f, for every real constant c. In fact, when I is an interval (and in most cases it is), these functions F + c, c ∈ , are all the antiderivatives of f. (This is because if F and G are two antiderivatives for the same function f on the interval I, then the derivative of GF vanishes on I; therefore the difference GF must be a constant. Note the importance of the fact that I is an interval.) We denote by


Positive Integer Continuous Function Real Function Differentiable Function Positive Real Number 
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© Springer Science+Business Media LLC 2017

Authors and Affiliations

  • Titu Andreescu
    • 1
  • Cristinel Mortici
    • 2
  • Marian Tetiva
    • 3
  1. 1.University of Texas at Dallas Natural Sciences and MathematicsRichardsonUSA
  2. 2.Valahia University of TargovisteTargovisteRomania
  3. 3.Gheorghe Rosca Codreanu National CollegeBarladRomania

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