Consider the region bounded by the line x = 2, the curve y = ln x and the x-axis. Setup an integral with respect to a that gives the area of the region. Area = f(x) dx where f(x)= , a = Setup an integral with respect to y that gives the area of the region. Area = g(y) dy where g(y)= Evaluate either (or both) of these integrals to find the area of the region. Area = , C = .b= d =

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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Consider the region bounded by the line x = 2, the curve y = ln x and the x-axis.
Setup an integral with respect to a that gives the area of the region.
So f(x) dx where f(x)=|
Area =
, a =
Setup an integral with respect to y that gives the area of the region.
Area =
g(y) dy where g(y)=
Evaluate either (or both) of these integrals to find the area of the region.
Area =
, C =
,b=
d =
You may want to look at this graph on desmos:
https://www.desmos.com/calculator/xoqafrhsaz
Hint: We won't learn the antiderivative of In x until next semester, so it is strongly recommended that you use the integral with respect to y to find the area.
Transcribed Image Text:Consider the region bounded by the line x = 2, the curve y = ln x and the x-axis. Setup an integral with respect to a that gives the area of the region. So f(x) dx where f(x)=| Area = , a = Setup an integral with respect to y that gives the area of the region. Area = g(y) dy where g(y)= Evaluate either (or both) of these integrals to find the area of the region. Area = , C = ,b= d = You may want to look at this graph on desmos: https://www.desmos.com/calculator/xoqafrhsaz Hint: We won't learn the antiderivative of In x until next semester, so it is strongly recommended that you use the integral with respect to y to find the area.
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