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Chapter 6: Q. 49 (page 512)
Consider the region between the graphs of and on . For each line of rotation given in Exercises 47鈥�50, use definite integrals to find the volume of the resulting solid.
The volume of the solid is
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Consider the region between and the x-axis on . For each line of rotation given in Exercises 27鈥�30, use four disks or washers based on the given rectangles to approximate 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鈥� 34, use definite integrals to find the volume of the resulting solid.
Consider the region between and the x-axis on . For each line of rotation given in Exercises 27鈥�30, use four disks or washers based on the given rectangles to approximate the volume of the resulting solid.
The arc length of the curve is traced out by the graph of on the interval .
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.
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