Let (x) = x 2 . (a) Sketch the function over the interval [0, 2] and the

Let ƒ(x) = x².
(a) Sketch the function over the interval [0, 2] and the rectangles corresponding to L₄. Calculate the area contained within them.
(b) Sketch the function over the interval [0, 2] again but with the rectangles corresponding to R₄. Calculate the area contained within them.
(c) Make a conclusion about the area under the curve ƒ(x) = x² over the interval [0, 2].