Chapter 4: Q. 72 (page 375)
Use the Fundamental Theorem of Calculus to give alternative proofs of the integration facts shown in Exercises 72–76. You may assume that all functions here are integrable
Short Answer
Proved that
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Chapter 4: Q. 72 (page 375)
Use the Fundamental Theorem of Calculus to give alternative proofs of the integration facts shown in Exercises 72–76. You may assume that all functions here are integrable
Proved that
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Determine which of the limit of sums in Exercises 47–52 are infinite and which are finite. For each limit of sums that is finite, compute its value.
Suppose on [1, 3] and on (−∞, 1] and [3,∞). Write the area of the region between the graphs of f and g on [−2, 5] in terms of definite integrals without using absolute values .
Suppose f is a function whose average value on
is and whose average rate of change on
the same interval is . Sketch a possible graph for f .
Illustrate the average value and the average rate of change
on your graph of f.
Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.
Describe the intervals on which the function f is positive, negative, increasing and decreasing. Them describe the intervals on which the function A is positive , negative, increasing and decreasing
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