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2-69.

Since area of a rectangle = (base)(height), start by finding the base, or Δx of each rectangle. Divide the interval by the number of rectangles:

Next, find the height of each rectangle. The height is determined by f(axi), where a = starting value on the x-axis.
f((−2) + (1)i) = f(−2 + i)

Finally, use sigma notation to represent the sum of all eight rectangles. Since these are left-endpoint rectangles, the index will start at 0 and end at n − 1, where n = number of rectangles.

Use your calculator to evaluate this sum.