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Chapter 4: Q. 40 (page 404)
Integral Formulas: Fill in the blanks to complete each of the following integration formulas.
The value of.
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Fill in each of the blanks:
(a)
(b) is an antiderivative of role="math" localid="1648619282178"
(c) The derivative of is
Suppose f is a function whose average value on is
and whose average rate of change on the same in-
terval is . Sketch a possible graph for f . Illustrate the
average value and the average rate of change on your
graph of f .
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
.
Use a sentence to describe what the notation means. (Hint: Start with 鈥淭he sum of....鈥�)
Consider the general sigma notation .What do we mean when we say that ak is a function of k?
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