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Chapter 6: Q. 13 (page 574)
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Each of the definite integrals in Exercises 19–24 represents the volume of a solid of revolution obtained by rotating a region around either the x- or y-axis. Find this region.
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.
,
Use antidifferentiation and/or separation of variables to solve each of the initial-value problems in Exercises 29–52
The centroid of the region between the graph of f(x) = x 2
and the x-axis on [0, 2].
Each of the definite integrals in Exercises 19–24 represents the volume of a solid of revolution obtained by rotating a region around either the x- or y-axis. Find this region.
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