Why is e^x selected as u and not e^2x (to get du /2 = e^x dx in the problem attached?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Why is e^x selected as u and not e^2x (to get du /2 = e^x dx in the problem attached? 

E Environmental Ju
The integral funct x
Content
9173817
вы МАТН 112-02 Cа
b The integral funct X
M Inbox - caoberkir x
A bartleby.com/solution-answer/chapter-74-problem-47e-calculus-early-transcendentals-8th-edition/9781285741550/9b4d12f2-52f1-11e9-8385-02ee952b546e
= bartleby
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E Ask an Expert
E Calculus: Early Transcendentals
< Chapter 7.4, Problem 47E >
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Given information:
Drablan Eor
The integral function is
dx.
e2x + 3e* + 2
Calculation:
Show the integral function as follows:
dx (1)
e2x + 3e* + 2
Consider u = e* (2)
Modify Equation (2).
In u = x (3)
Differentiate both sides of the Equation (3).
du = dx
巴
GET 5 FREE QUESTIONS X
Substitute u for e and -du for dx in Equation (1).
12:36 AM
P Type here to search
70°F Cloudy
10/6/2021
Transcribed Image Text:E Environmental Ju The integral funct x Content 9173817 вы МАТН 112-02 Cа b The integral funct X M Inbox - caoberkir x A bartleby.com/solution-answer/chapter-74-problem-47e-calculus-early-transcendentals-8th-edition/9781285741550/9b4d12f2-52f1-11e9-8385-02ee952b546e = bartleby Search for textbooks, step-by-step explanations to homework questions, E Ask an Expert E Calculus: Early Transcendentals < Chapter 7.4, Problem 47E > Get live help whenever you need from online tutors! Try bartleby tutor today > Given information: Drablan Eor The integral function is dx. e2x + 3e* + 2 Calculation: Show the integral function as follows: dx (1) e2x + 3e* + 2 Consider u = e* (2) Modify Equation (2). In u = x (3) Differentiate both sides of the Equation (3). du = dx 巴 GET 5 FREE QUESTIONS X Substitute u for e and -du for dx in Equation (1). 12:36 AM P Type here to search 70°F Cloudy 10/6/2021
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