y = x2,a parabola.
Use the button "+" to increase the number of rectangles in the approximating figure, hence to increase its accuracy. As the number of rectangles increases, the' area of the figure gets closer and closer to the area under the curve. Thus the area under the curve is limit value of these approximations:
limit( An ) = Awhere An is the are of the approximating figure and A is the area of the given figure.
Question: What is the area under the parabola?