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 function y = 20x x², and approximate the area under the curve in the interval [0, 20] by dividing the area into the given numbers of rectangles.

1:Use five rectangles to approximate the area under the curve.

2:Use 10 rectangles to approximate the area under the curve.

3: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.