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2-140.

WHICH IS BETTER? Part Three

Below is a comparison of using a different number of rectangles to approximate the*same*area under a curve for*f*(*x*). Decide which will best approximate*A*(*f*,*a*≤*x*≤*b*). Explain why.

If, in each situation, the rectangles all had equal widths, write expressions to find the area under the curve. Homework Help ✎

Look at the shaded area beneath each curve. Which sketch most accurately represents the actual area under the curve?

General form for left-endpoint Riemann sum using sigma notation: