u+1 Using u-substitution, the integral Jf(x)dx reduces to a new integral glu) du. If glu) = , 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) = 1 f(x) X-1 f(x) X-1 x+1 f(x) = X-1
u+1 Using u-substitution, the integral Jf(x)dx reduces to a new integral glu) du. If glu) = , 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) = 1 f(x) X-1 f(x) X-1 x+1 f(x) = X-1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Question
![u+1
Using u-substitution, the integral J f(x)dx reduces to a new integral J g(u) du. If g(u) =
, 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) =
1
B
f(x)
X -
1
f(x) =
X-1
x+1
f(x) =
X- 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9219cffd-695b-4b02-b831-cc6d954183a0%2F7f7789f0-17ac-4bb4-b3a6-642f79eb3c18%2F17u4zzd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:u+1
Using u-substitution, the integral J f(x)dx reduces to a new integral J g(u) du. If g(u) =
, 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) =
1
B
f(x)
X -
1
f(x) =
X-1
x+1
f(x) =
X- 1
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