Jsing u-substitution, the integral f(x)dx reduces to a new integral J glu) du. If g(u) = u+1 ', evaluate the new integral using applicable formula and then back-substitute the original variable, where the integral f(x) d = x + In |x - 1| + c. Determine the original integrand f(x). A f(x) X- 1 1 ® f(x) = B X-1 © f(x)= X-1

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 glu) du. If 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).
A
f(x)
X- 1
1
B
f(x)
X- 1
(©) f(x)=
© f(x) = *=1
f(x) =
x +1
X-1
Transcribed Image Text:Using u-substitution, the integral Jf(x)dx reduces to a new integral glu) du. If 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). A f(x) X- 1 1 B f(x) X- 1 (©) f(x)= © f(x) = *=1 f(x) = x +1 X-1
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