sing u-substitution, the integral Jf(x)dx reduces to a new integral J glu) du. If g(u) = , evaluate the new integral using aplicable formula and then back-substitute the original variable, where the integral J f(x) dx = x + In |x- 1| + C. Determine the iginal integrand f(x). х-1 A f(x)= B f(x) X-1 x+1 f(x) = X-1 1 f(x) %3D

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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Using u-substitution, the integral Jf(x)dx reduces to a new integral J g(u)
u+1
, evaluate the new integral using
applicable formula and then back-substitute the original variable, where the integral f(x) dx = x + In |x- 1| + C. Determine the
original integrand f(x).
x-1
(A
f(x) =
B
f(x)
X-
x+1
© f(x) =
X- 1
D
1
f(x) =
X-1
Transcribed Image Text:Using u-substitution, the integral Jf(x)dx reduces to a new integral J g(u) u+1 , evaluate the new integral using applicable formula and then back-substitute the original variable, where the integral f(x) dx = x + In |x- 1| + C. Determine the original integrand f(x). x-1 (A f(x) = B f(x) X- x+1 © f(x) = X- 1 D 1 f(x) = X-1
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