### Home > APCALC > Chapter 1 > Lesson 1.3.2 > Problem 1-121

1-121.

WHICH IS BETTER? Part Two

Below is a comparison between using rectangles and trapezoids to approximate the area under a curve for the *same* interval of a function. Decide which method you think will best approximate the area under the curve for *a* ≤ *x* ≤ *b*. Then approximate the area using each method if *f*(*x*) = –0.25*x*(*x* – 9), *a* = 2, and *b* = 8 using 3 sections. Compare your results with the actual area *A* = 25.5 un^{2}. Homework Help ✎

Which method comes closer to the actual curve *f*(*x*)?

Each section is 2 units wide. Use this knowledge and the equation of the function to find the areas of each section for both methods.

Which method gave you the number closest to 25.5?