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)