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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Question
Transcribed Image Text:For the constant numbers a and b, use the substitution x = a cos² u + b sin² u, for 0 < u < , to
show that
s
dx
√(x − a)(b − x)
-
= 2arctan
X
√b-x
a
+ c₂
(a < x < b)
Hint. At some point, you may need to use the trigonometric identities to express sin² u and cos² u
in terms of tan² u.
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