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Home > APCALC > Chapter 2 > Lesson 2.4.1 > Problem 2-137
2-137.
Write a single expression using the Trapezoid Rule, which will approximate the area under
The Trapezoid Rule![First quadrant, y axis unscaled, with label, f of a, almost to the bottom, & label f of b, almost to the top, curve coming through the origin, rising, then falling slightly, then rising & continuing up & right, 4 equal width vertical right trapezoids, bottom edges on x axis, left edge of first labeled, a, right edge of last labeled, b, each on the x axis, with top edge left & right vertices of each , on the curve, second bar is shaded & labeled delta x.](https://s3-us-west-2.amazonaws.com/c3po-media-dev/files/31c32090-259f-11e9-ab6b-d7741872f579/apcalc_original.png)
![First quadrant, y axis unscaled, with label, f of a, almost to the bottom, & label f of b, almost to the top, curve coming through the origin, rising, then falling slightly, then rising & continuing up & right, 4 equal width vertical right trapezoids, bottom edges on x axis, left edge of first labeled, a, right edge of last labeled, b, each on the x axis, with top edge left & right vertices of each , on the curve, second bar is shaded & labeled delta x.](https://s3-us-west-2.amazonaws.com/c3po-media-dev/files/31c32090-259f-11e9-ab6b-d7741872f579/apcalc_original.png)
The Trapezoid Rule can be used to approximate the area under a curve if the widths,