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2-69.

Using sigma notation, write a Riemann sum to estimate the area under the function for with eight left endpoint rectangles of equal width. Then use the summation feature of your graphing calculator to calculate the estimated area.

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

Next, find the height of each rectangle. The height is determined by , where starting value on the -axis.

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

Use your calculator to evaluate this sum.