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Chapter 4: Q. 53 (page 386)
For each function and interval [a, b] in Exercises 53鈥�55, approximate the average value of from , using a sample size of at least eight.
The average value is.
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Approximate the same area as earlier but this time with eight rectangles is this over approximation or under approximation of the exact area under the graph
Find the sum or quantity without completely expanding or calculating any sums.
Givenand, find.
Write each expression in Exercises 41鈥�43 in one sigma notation (with some extra terms added to or subtracted from the sum, as necessary).
Calculate the exact value of each definite integral in Exercises 47鈥�52 by using properties of definite integrals and the formulas in Theorem 4.13.
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: ).
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