# Definite Integrals

### Exercises

#### Exercise 4

- The table below shows some values of the increasing function
*f*(*x*).

- Use a left-hand sum with one sub-interval to estimate the area between the graph of
*f*and the*x*-axis on the interval [2,8].

- Use a left-hand sum with three sub-intervals to estimate the area between the graph of
*f*and the*x*-axis on the interval [2,8].

- Are your answers in (a) and (b) over- or under-estimates of the actual area between the graph of
*f*and the*x*-axis on the interval [2,8]?

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