Long description: Ch25comp3trappicJPW

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• The image displays a graph with the horizontal axis labeled "x" and the vertical axis with no explicit label.
• A curve, labeled as \(f(x)\), is drawn, generally increasing from left to right.
• Below the curve, three adjacent shaded rectangular areas are shown, positioned between the vertical lines \(x=a\) and \(x=b\).
• The first shaded rectangle, labeled \(f_0\), spans from an implicit starting point up to \(x=a\).
• The second shaded rectangle, labeled \(f_1\), spans from \(x=a\) to an intermediate point.
• The third shaded rectangle, labeled \(f_2\), spans from the intermediate point to another point.
• A fourth, larger shaded area, labeled \(f_3\), spans from the intermediate point to the right boundary at \(x=b\).
• A horizontal arrow labeled "\(h\)" indicates the width of the second and third shaded rectangles, suggesting a uniform width or sequence of partitions.
• The overall setup illustrates the process of approximating the area under the curve \(f(x)\) between \(x=a\) and \(x=b\) using three distinct rectangles.