EXAMPLE 9 Evaluate the integral. In (dr SOLUTION We let u = In(x) because its differential du = dx/x occurs in the integral. When x = 1, u = In(1) %3D ; when x = e', u = In(e') = 5. Thus, ° In (x)dr = udu

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Substitution Rul x
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VAS
.CCC4 5.5.AE.08.
MY ΝΟΤES
ASK
EXAMPLE 9
Evaluate the integral.
In (r)
rp-
SOLUTION
We let u = In(x) because its differential du = dx/x occurs in the integral. When x = 1, u
= In(1) =
; when x = e, u = In(e) = 5. Thus,
In (x)
udu
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Transcribed Image Text:Substitution Rul x s://www.webassign.net/web/Student/Assignment-Responses/submit?pos=D128&dep%3D28532318&tags=autosave#ques VAS .CCC4 5.5.AE.08. MY ΝΟΤES ASK EXAMPLE 9 Evaluate the integral. In (r) rp- SOLUTION We let u = In(x) because its differential du = dx/x occurs in the integral. When x = 1, u = In(1) = ; when x = e, u = In(e) = 5. Thus, In (x) udu View Previous Question Question 3 of 13 View Next Question 70°F Clear ho insert prt scr 国
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