Math

 Find an estimate of the area under the graph of between and above the -axis. Use four left endpoint rectangles.

 Find an estimate of the area under the graph of between and above the -axis. Use four right endpoint rectangles.

 Find an estimate of the net area determined by the graph of between and . Use four left endpoint rectangles. (A net area is obtained by adding the pieces of the areas above the axis and subtracting the area of the piece below the -axis.)

 Find an estimate of the area under the graph of between and . Use two midpoint rectangles.

 Use elementary geometry to find the area under the graph of between and . Sketch a picture.

 The velocity of an object is sketched below. Estimate the total distance travelled by an object between and .

 Please share on the forum but do not submit. Good participation points. Design a google spreadsheet that will illustrate Riemann summation. Share the unlisted link on the forum. The entries should be (a) function f(x) [ok to pick a specific function], (b) lower limit a, (c) upper limit b, (d) n - number of rectangles. The result should be three fields: left endpoint, midpoint approximation, right endpoint approximation.