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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)- ) dr=K, 0

The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property f(-x)=- F(x)- ) dr=K, 0

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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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 9. I f(x) dr=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.] 1+x.f(x) -a a - dx =K(-a+b)+In- b -b 1+x f(x) dx=K+In- -a a dx=K+ In- b -b 1+x•f(x) -a a -dx = - K (-a+b)+ In- b -b S-a 1+x:f(x) dv= - K+ In- a dr = - K+ In b -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 9. I f(x) dr=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.] 1+x.f(x) -a a - dx =K(-a+b)+In- b -b 1+x f(x) dx=K+In- -a a dx=K+ In- b -b 1+x•f(x) -a a -dx = - K (-a+b)+ In- b -b S-a 1+x:f(x) dv= - K+ In- a dr = - K+ In b -b
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