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, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property F(-x) = -F(x). If
0<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)
-dr=K(-a+b)+Inº
b
-b
'1+x•f(x)
a
dx= - K+ In
b
-b
1+x•f(x)
a
dr=K+ In-
b
-b
1+x•f(x)
dr =
:- K(-a+b)+ In“
b
Transcribed Image Text:The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property F(-x) = -F(x). If 0<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) -dr=K(-a+b)+Inº b -b '1+x•f(x) a dx= - K+ In b -b 1+x•f(x) a dr=K+ In- b -b 1+x•f(x) dr = :- K(-a+b)+ In“ b
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