Determining Basic Rates of Change Using Integrals

Key Questions

• How can you find a function, if you already know the rate of change of the function?

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

  #f(x)=\int f'(x)dx#.

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

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  I hope that this was helpful.

  Wataru · 1 · Oct 28 2014

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