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1. Let f(x) and g(x) be the functions f(x) = e* and g(x) = ln x. a) Write an integral expression for the area enclosed by f (x) and g(x) between x = 1 and x = 2. Calculate the area of that region.

1. Let f(x) and g(x) be the functions f(x) = e* and g(x) = ln x. a) Write an integral expression for the area enclosed by f (x) and g(x) between x = 1 and x = 2. Calculate the area of that region.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...
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1. Let f(x) and g(x) be the functions f(x) = e* and g(x) = In x. a) Write an integral expression for the area enclosed by f(x) and g(x) between x = 1 and x = 2. Calculate the area of that region. b) Write, BUT DO NOT EVALUATE, an integral expression for the volume of the solid created when the area enclosed by f(x) and g(x) between x = 1 and x = 2 is revolved about the line y = -1.
Transcribed Image Text:1. Let f(x) and g(x) be the functions f(x) = e* and g(x) = In x. a) Write an integral expression for the area enclosed by f(x) and g(x) between x = 1 and x = 2. Calculate the area of that region. b) Write, BUT DO NOT EVALUATE, an integral expression for the volume of the solid created when the area enclosed by f(x) and g(x) between x = 1 and x = 2 is revolved about the line y = -1.
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