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Chapter 4: Q. 54 (page 386)
For each function f and interval [a, b] in Exercises 53鈥�55, approximate the average value of f from x = a to x = b, using a sample size of at least eight.
The average value off fromx = a tox = b, using a sample size of at least eight is
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Use integration formulas to solve each integral in Exercises 21鈥�62. You may have to use algebra, educated guess- and- check, and/or recognize an integrand as the result of a product, quotient, or chain rule calculation. Check each of your answers by differentiating. (Hint for Exercise 54: ).
For each function f and interval [a, b] in Exercises 27鈥�33, use the given approximation method to approximate the signed area between the graph of f and the x-axis on [a, b]. Determine whether each of your approximations is likely to be an over-approximation or an under-approximation of the actual area.
left sum with
a) n = 3 b) n = 6
Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.
Read the section and make your own summary of the material.
Use the graph of f to estimate the values of A(1), A(2), A(3)
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