Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I want to ask question c and f, thanks
Transcribed Image Text: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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