dx Evaluate ·S= using rationalizing substitution. x1/2 + x2/3 (A) none of the choices B 6 In (x1/6) + 3x1/3 - 6x1/6 + C 6n (1+x1/6) + 3(x1/3 - 2x1/6) + C D 3 In (1+x1/3) + 3x1/3 - 2x1/6 +C E6 ln (x1/3) + 3(x1/3 - 2x1/6) +C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
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Evaluate using rational substitution

Evaluate
·S=
dx
-1/2
x +
using rationalizing substitution.
x2/3
(A) none of the choices
B
6 In (x1/6) + 3x1/3
6x1/6 + C
6 ln (1 + x1/6) + 3(x1/3 - 2x1/6) + C
3 ln (1 + x1/3) + 3x1/3 - 2x1/6 + C
6 ln (x1/3) + 3(x¹/3 − 2x1/6) + C
D
(E)
Transcribed Image Text:Evaluate ·S= dx -1/2 x + using rationalizing substitution. x2/3 (A) none of the choices B 6 In (x1/6) + 3x1/3 6x1/6 + C 6 ln (1 + x1/6) + 3(x1/3 - 2x1/6) + C 3 ln (1 + x1/3) + 3x1/3 - 2x1/6 + C 6 ln (x1/3) + 3(x¹/3 − 2x1/6) + C D (E)
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