Each integral represents the volume of a solid of revolution. Describe the solid. 51.+ / ² -(x² – x³) dxㅠAnswer +Solid obtained by rotating the region 0 < x < 1, x³ ≤ y ≤ x² about the x-axis

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Answered: -x) dx Answer Solid obtained by…

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-x) dx Answer Solid obtained by rotating the region 0 < x < 1, ³ < y ≤ x² about the x-axis

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 12E

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Question

Each integral represents the volume of a solid of revolution. Describe the solid.

51.
+ / ² -
(x² – x³) dx
ㅠ
Answer +
Solid obtained by rotating the region 0 < x < 1, x³ ≤ y ≤ x² about the x-axis

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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