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Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+ 5about the x-axis.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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Question

using integrals

Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and
g(x)=x²+2x+
5about 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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