In 41 and 42, a function f is defined over an interval 3a,

Chapter 0, Problem 41

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In 41 and 42, a function f is defined over an interval 3a, b 4. (a) Graph f, indicating the area A under f from a to b. (b) Approximate the area A by partitioning 3a, b 4 into three subintervals of equal length and choosing u as the left endpoint of each subinterval. (c) Approximate the area A by partitioning 3a, b 4 into six subintervals of equal length and choosing u as the left endpoint of each subinterval. (d) Express the area A as an integral. (e) Use a graphing utility to approximate the integral

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