Math Indefinite integrals Antiderivative

Antiderivative

A function whose derivative is the initial function is called antiderivative. These are obtained by integration.

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Remember

A function $F$ is the antiderivative of $f$, if $F'(x)=f(x)$
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Hint

The initial function is obtained by taking the derivative of the antiderivative.
Put simply, the antiderivative is the function from which the initial function is "derived".
antiderivative
  • $f'(x)$ is the derivative of $f(x)$
  • $f(x)$ is the antiderivative of $f'(x)$
  • $F(x)$ is the antiderivative of $f(x)$