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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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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
x=K.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.]
"I+x:f(x) dv=K(-a+b)+ In-
-dr=i
"1+x•f(x)
a
dr= – K+ In-
-b
1+x•f(x)
:- <(-a+b)+ In-
dx = -
b
-b
'1+x•f(x)
a
-dx=K+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 x=K.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.] "I+x:f(x) dv=K(-a+b)+ In- -dr=i "1+x•f(x) a dr= – K+ In- -b 1+x•f(x) :- <(-a+b)+ In- dx = - b -b '1+x•f(x) a -dx=K+In= -b
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