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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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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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
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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