I want to ask question c and f, thanks 54. Using different substitutions Show that the integralf6x² − 1)(x + 1))-²/³ dxcan be evaluated with any of the following substitutions.a. u = 1/(x + 1)b. u = ((x - 1)/(x + 1))* for k= 1, 1/2, 1/3, -1/3, -2/3,and -1d. u = tan-¹ √xf. u = cos ¹ xc. u = tan ¹xe. u = tan¹ ((x - 1)/2)g. u = cosh ¹xWhat is the value of the integral?

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Answered: fa²- − 1)(x + 1))-2/³ dx

Math

Calculus

fa²- − 1)(x + 1))-2/³ dx

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 23E

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Question

I want to ask question c and f, thanks

54. Using different substitutions Show that the integral
f6x² − 1)(x + 1))-²/³ dx
can be evaluated with any of the following substitutions.
a. u = 1/(x + 1)
b. u = ((x - 1)/(x + 1))* for k= 1, 1/2, 1/3, -1/3, -2/3,
and -1
d. u = tan-¹ √x
f. u = cos ¹ x
c. u = tan ¹x
e. u = tan¹ ((x - 1)/2)
g. u = cosh ¹x
What is the value of the integral?

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