Question
Consider the volume of the solid give by rotating the curve y = x 3 for x [0, 1] around the x-axis. Evaluate the volume
Consider the volume of the solid give by rotating the curve y = x 3 for x [0, 1] around the x-axis. Evaluate the volume in TWO WAYS. First subdivide the x-axis and decompose into discs. Second subdivide the y-axis and decompose into cylindrical shells. Draw a picture for each problem and show that the two methods give the same volume.
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Introduction to Real Analysis
Authors: Robert G. Bartle, Donald R. Sherbert
4th edition
471433314, 978-1118135853, 1118135857, 978-1118135860, 1118135865, 978-0471433316
