eIna 83. (a) Explain why the shaded region in Figure 5 has area e dy. Ina (b) Prove the formula | h In x dx = a In a - | e dy. (c) Conclude that (d) Use the result of (a) to find an antiderivative of y = In x. In x dx = a In a – a + 1. y= In x In a FIGURE 5

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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eIna
83.
(a) Explain why the shaded region in Figure 5 has area
e dy.
Ina
(b) Prove the formula | h
In x dx = a In a - |
e dy.
(c) Conclude that
(d) Use the result of (a) to find an antiderivative of y = In x.
In x dx = a In a – a + 1.
y= In x
In a
FIGURE 5
Transcribed Image Text:eIna 83. (a) Explain why the shaded region in Figure 5 has area e dy. Ina (b) Prove the formula | h In x dx = a In a - | e dy. (c) Conclude that (d) Use the result of (a) to find an antiderivative of y = In x. In x dx = a In a – a + 1. y= In x In a FIGURE 5
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