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education/math/MATH1210 (calc 1)/Integrals.md
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An antiderivative is useful when you know the rate of change, and you want to find a point from that rate of change An antiderivative is useful when you know the rate of change, and you want to find a point from that rate of change
> A function $F$ is said to be an *antiderivative* of $f$ if $F'(x) = f(x)$ > A function $F$ is said to be an *antiderivative* of $f$ if $F'(x) = f(x)$
## Examples
> Find the antiderivative of the function $y = x^2$
1. We know that $f'(x) = 2x$