Set up and evaluate the integral for the area of the shaded region. y = 4-x y=16-x² Set up the integral in the form b A = [f(x) - g(x)]dx for the area of the - S[f(x) - a shaded region. A = Sdx dx

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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Set up and evaluate the integral for the area
of the shaded region.
y=4-x
2
y = 16-x²
X
Set up the integral in the form
b
= S[f(x).
A =
[f(x) - g(x)]dx for the area of the
a
shaded region.
A =
S
dx
Evaluate the integral to find the area
of the shaded region.
(Type an integer or a simplified
fraction.)
Transcribed Image Text:Set up and evaluate the integral for the area of the shaded region. y=4-x 2 y = 16-x² X Set up the integral in the form b = S[f(x). A = [f(x) - g(x)]dx for the area of the a shaded region. A = S dx Evaluate the integral to find the area of the shaded region. (Type an integer or a simplified fraction.)
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