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Exercises

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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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