In this task, you will practice finding the area under a nonlinear function by using rectangles.You will use graphing skills in addition to the knowledge gathered in this unit.Sketch the graph of the functiony= 20xx2, and approximate the area under the curve in the interval[0, 20]by dividing the area into the given numbers of rectangles.

Part A

Use five rectangles to approximate the area under the curve.

Part B

Use 10 rectangles to approximate the area under the curve.

Part C

Calculate the area under the curve using rectangles as their number becomes arbitrarily large (tends to infinity).You do not need to sketch the rectangles.