Using u-substitution, the integral f(x)dx Srwax u+1 reduces to a new integralg(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 f(x) = B f(x) X-1 x+1 © f(x) = X-1 D fx) = X-1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 68E
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Using u-substitution, the integralF(x)dx
Srwax
reduces to a new integral g(u) 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).
X-1
A
f(x) =
B
f(x) =
X-1
X+1
f(x) =
I +x_
X-1
D.
f(x) =
X-1
Transcribed Image Text:Using u-substitution, the integralF(x)dx Srwax reduces to a new integral g(u) 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). X-1 A f(x) = B f(x) = X-1 X+1 f(x) = I +x_ X-1 D. f(x) = X-1
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