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
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
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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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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