# Determining Basic Rates of Change Using Integrals

## Key Questions

• If you know the formula of $f ' \left(x\right)$, then you can find the formula $f \left(x\right)$ except for its constant term by taking an antiderivative

$f \left(x\right) = \setminus \int f ' \left(x\right) \mathrm{dx}$.

If you have an additional information about $f \left(x\right)$ such as a point on the graph of $f$, then you will be able to find its constant term as well.

I hope that this was helpful.