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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 . Then approximate the area using each method if , , and using sections. Compare your results with the actual area . Homework Help ✎

two upside down parabolas: 1st midpoint rectangles; 2nd trapezoids

Which method comes closer to the actual curve ?

Each section is 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 ?