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Consider the area between the curve of the function \(f(x)=x\) and the \(x\)-axis from \(x=0\) to \(x=1\).
  1. Divide the interval into 5 subintervals of equal width. Then, estimate the area by summing the areas of rectangles whose heights are determined by the function's value at:
    1. the left-hand endpoint of each subinterval.
    2. the right-hand endpoint of each subinterval.
  2. Calculate the actual area and compare it with your estimations.

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