Use the method of cylindrical shells (do not use any other method) to find the volume of the solid that is generated when the region enclosed by y = cos(x²), y = 0, x = 0, X = 2 is revolved about the y-axis. Note that a sketch is not required for this problem. You must show your work. Hint: use the appropriate substitution to evaluate your integral.

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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Use the method of cylindrical shells (do not use any other method) to find the volume of
the solid that is generated when the region enclosed by
y = cos(x²),
y = 0,
x = 0,
x =
is revolved about the y-axis. Note that a sketch is not required for this problem.
You must show your work. Hint: use the appropriate substitution to evaluate your integral.
Transcribed Image Text:Use the method of cylindrical shells (do not use any other method) to find the volume of the solid that is generated when the region enclosed by y = cos(x²), y = 0, x = 0, x = is revolved about the y-axis. Note that a sketch is not required for this problem. You must show your work. Hint: use the appropriate substitution to evaluate your integral.
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