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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 , 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 .

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 .

Use your calculator to evaluate this sum.

Continuous curve, coming from lower left, turning at the following approximate points, down at, (negative 3.5, comma 3), up at (negative 1, comma negative 1 half), down at (1, comma 1 half), up at (4.5, comma negative 3), continuing up & right, with 7 visible shaded vertical bars, each of width 1, starting at x = negative 2, placed between the curve & x axis, with a left vertex of each bar, on the curve.