4 (2, 4) y = 2x y = x? Using a vertical element of area, the area of the shaded region is given by the integral (2x (2x (2x +x?) 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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4
(2, 4)
y = 2x
y = x2
Using a vertical element of area, the area of the shaded region is given by the integral
(2r -x2) dx
(2x
2.
Transcribed Image Text:4 (2, 4) y = 2x y = x2 Using a vertical element of area, the area of the shaded region is given by the integral (2r -x2) dx (2x 2.
y? = 4r
(4, 4)
y= 2x-4
(1,-2)
Using a horizontal element of area, the area of the shaded region is given by the definite integral
(2x - 4)
-2
y+4
dy
-2L
Transcribed Image Text:y? = 4r (4, 4) y= 2x-4 (1,-2) Using a horizontal element of area, the area of the shaded region is given by the definite integral (2x - 4) -2 y+4 dy -2L
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