1.1 Suppose an area S of a parabola y = x² illustrated in Figure 1.1 below is divided into four stripes S,, S2, S3, and Są as shown in Figure 1.2 below; State the formulas to estimate the sum of the...

The area and distance problems and definite integral

Extracted text: 1.1 Suppose an area S of a parabola y = x² illustrated in Figure 1.1 below is divided into four stripes S,, S2, S3, and Są as shown in Figure 1.2 below; State the formulas to estimate the sum of the rectangles (R1.3 and R14) under the parabolic region S illustrated in Figures 1.3, 1.4 and the sum of areas of p rectangles. y (1, 1) (1, 1) y=x y=x? S, Figure 1.1 Figure 1.2 (1, 1) (1, 1) y=x 4 2 Figure 1.3 Figure 1.4