QUESTION 19 The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property F(-x) = - F(x) IfL f(x)dr=K, Ocach determine which of the following is true [Assume both f(x) and F(x) are defined for all real values of x.] '1+x. a dx =K(-a+b) + In- b. S"I+x-f(x) -dr = - K(-a+b) + In- -b " I+x•f(x) a -dr=K + In b -b 1+x• a -dx = - K+ In-

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 19
The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property F(-x) = - F(x) If / f(x) dr=K, O<a<b. determine which of the following is true.
[Assume both f(x) and F(x) are defined for all real values of x.]
1+x.f(x)
a
dx = K( -a+b) + In-
-b
r-ª 1+x•f(x)
dx = - K(-a+b
-b
'1+x•f(x)
a
dx =K+ In-
b
-b
1+x.
a
dx= - K+ In=
Transcribed Image Text:QUESTION 19 The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property F(-x) = - F(x) If / f(x) dr=K, O<a<b. determine which of the following is true. [Assume both f(x) and F(x) are defined for all real values of x.] 1+x.f(x) a dx = K( -a+b) + In- -b r-ª 1+x•f(x) dx = - K(-a+b -b '1+x•f(x) a dx =K+ In- b -b 1+x. a dx= - K+ In=
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