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Chapter 6: Q. 69 (page 540)
Set up and solve a definite integral to find the exact area of each surface of revolution obtained by revolving the curve around the x-axis on the interval [a, b].
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Use antidifferentiation and/or separation of variables to solve each of the initial-value problems in Exercises 29–52.
35.
Find the exact value of the arc length of each function f (x) on [a, b] by writing the arc length as a definite integral and then solving that integral.
,
Explain how equality is relevant to Euler’s method.
Consider the region between the graph of and the x-axis on [2, 5]. For each line of rotation given in Exercises 35–40, use definite integrals to find the volume of the resulting solid.
Consider the region between the graph of and the x-axis on [1,3]. For each line of rotation given in Exercises 31– 34, use definite integrals to find the volume of the resulting solid.
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