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Exercises

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Exercise 1

Let R be the region between the graph y = f ( x ) = x2 + 1 and the x-axis on the interval [0,4].

  • Draw R and the 8 rectangles that result from using a right-hand sum with 8 sub-intervals to approximate the area of R.
  • Use a Right-Hand Sum with 8 sub-intervals to approximate the area of R.
  • Is your approximation an under-estimate or an over-estimate to the actual area of R?
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