Free Riemann sums with sigma notation Practice Problems • Learn To Be

The following graph shows a Riemann sum:

The region between the graph of the function f of x equals the square root of x, plus 5 and the x-axis is shaded from x equals 1 to x equals 3. 8 rectangles are superimposed on the graph. The first rectangle has a base on the x-axis from x equals 1 to x equals 1.25. The second rectangle has a base from x equals 1.25 to 1.5, and so on. The height of each rectangle is equal to the value of the function at the left endpoint of the rectangle's base.

Which of the following approximates the area between $f(x)$ and the $x$ -axis on the interval $[1,3]$ using a left Riemann sum with $8$ equal subdivisions?

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Riemann sums with sigma notation

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