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Chapter 4: Q 19. (page 339)
The following sum approximates the area between the graph of some function f and the x-axis from x = a to x = b. Do some 鈥渞everse engineering鈥� to determine the type of approximation (left sum, midpoint sum, etc.) and identify f(x), a, b, n, , and . Then sketch the approximation described.
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Determine which of the limit of sums in Exercises 47鈥�52 are infinite and which are finite. For each limit of sums that is finite, compute its value
Consider the general sigma notation .What do we mean when we say that ak is a function of k?
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.
Repeat Exercise 13 for the function f shown above at the right, on the interval
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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