Antiderivatives PowerPoint PPT Presentation

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Title: Antiderivatives


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Antiderivatives
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Definition
  • A function F is an antiderivative of f on an
    interval I if F(x)f(x) for all x in I.

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A Theorem
  • If F is an antiderivative of f on I, then G is
    also an antiderivative of f on I if and only if
    G(x)F(x)c for
    all x in I, where c is a constant.

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Basic Integraion Rules
  • ?F(x)dx F(x) c
  • d/dx?f(x)dx)f(x)
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